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These Lecture Notes discuss the recent theoretical advances in the understanding of open quantum many-body physics in platforms where both dissipative and coherent processes can be tuned and controlled to a high degree.
Signatures of self-organized criticality in an ultracold atomic gas ,
S. Helmrich, A. Arias, G. Lochead, T. M. Wintermantel, M. Buchhold, S. Diehl and S. Whitlock, · 1908
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Die erfassung der quantengesetze durch kontinuierliche funktionen ,
E. Schrodinger, · 1929
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Note on exchange phenomena in the thomas atom ,
P. Dirac, · 1930
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Wave mechanics, advanced general theory , vol. 436,
J. Frenkel, · 1934
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Infrared and optical masers ,
A. L. Schawlow and C. H. Townes, · 1940
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Mathematical Foundations of Quantum Mechanics ,
J. von Neumann, · 1955
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Statistical-mechanical theory of irreversible processes. i. general theory and simple applications to magnetic and conduction problems ,
R. Kubo, · 1957
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Theory of many-particle systems. i ,
P. C. Martin and J. Schwinger, · 1959
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Generalized cumulant expansion method ,
R. Kubo, · 1962
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Formal theory of quantum fluctuations from a driven state ,
M. Lax, · 1963
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Effect of correlation on the ferromagnetism of transition metals ,
M. C. Gutzwiller, · 1963
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Special effects in superconductivity ,
P. W. Anderson, · 1964
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Phase Transitions and Critical Phenomena , vol. 3,
C. Domb and M. S. Green, eds., · 1964
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The fluctuation-dissipation theorem ,
R. Kubo, · 1966
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Laserlight — first example of a second-order phase transition far away from thermal equilibrium ,
R. Graham and H. Haken, · 1970
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The semiclassical and quantum theory of the laser ,
Haken, · 1970
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Optical pumping ,
W. Happer, · 1972
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Equilibrium statistical mechanics of matter interacting with the quantized radiation field ,
K. Hepp and E. Lieb, · 1973
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On the Superradiant Phase Transition for Molecules in a Quantized Radiation Field: the Dicke Maser Model ,
K. Hepp and E. H. Lieb, · 1973
Earlier work this paper cites.
Superconductor-insulator transition in a two-dimensional array of resistively shunted small Josephson junctions ,
Y. Takahide, R. Yagi, A. Kanda, Y. Ootuka and S. Kobayashi, · 1974
Earlier work this paper cites.
Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems ,
H. Haken, · 1975
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Phase transitions, two-level atoms, and the A 2 {A}^{2} term ,
K. Rzażewski, K. Wódkiewicz and W. Żakowicz, · 1975
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Approach to equilibrium for completely positive dynamical semigroups of n-level systems ,
H. Spohn, · 1976
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Nonabsorbing atomic coherences by coherent two-photon transitions in a three-level optical pumping ,
E. Arimondo and G. Orriols, · 1976
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An experimental method for the observation of r.f. transitions and laser beat resonances in oriented Na vapour ,
G. Alzetta, A. Gozzini, L. Moi and G. Orriols, · 1976
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Theory of dynamic critical phenomena ,
P. C. Hohenberg and B. I. Halperin, · 1977
Earlier work this paper cites.
The Zeno’s paradox in quantum theory ,
B. Misra and E. G. Sudarshan, · 1977
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An algebraic condition for the approach to equilibrium of an open n-level system ,
H. Spohn, · 1977
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Statistical Physics II: Nonequilibrium Statistical Mechanics ,
R. Kubo, M. Toda and N. Hashitsume, · 1978
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Heating and cooling of local and quasilocal vibrations by a nonresonance field ,
M. Dykman, · 1978
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Optical-sideband cooling of visible atom cloud confined in parabolic well ,
W. Neuhauser, M. Hohenstatt, P. Toschek and H. Dehmelt, · 1978
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Macroscopic quantum systems and the quantum theory of measurement ,
A. J. Leggett, · 1980
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Motion of atoms in a radiation trap ,
J. P. Gordon and A. Ashkin, · 1980
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Generalised p-representations in quantum optics ,
P. D. Drummond and C. W. Gardiner, · 1980
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Quantum theory of optical bistability. i. nonlinear polarisability model ,
P. D. Drummond and D. F. Walls, · 1980
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Kosterlitz-Thouless transition in proximity-coupled superconducting arrays ,
D. J. Resnick, J. C. Garland, J. T. Boyd, S. Shoemaker and R. S. Newrock, · 1981
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Gauge fields at finite temperatures—“thermo field dynamics” and the kms condition and their extension to gauge theories ,
I. Ojima, · 1981
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Simulating physics with computers ,
R. P. Feynman, · 1982
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Quantum Ito’s formula and stochastic evolutions ,
R. L. Hudson and K. R. Parthasarathy, · 1984
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II theory of optical bistability ,
L. A. Lugiato, · 1984
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Atomic motion in laser light: connection between semiclassical and quantum descriptions ,
J. Dalibard and C. Cohen-Tannoudji, · 1985
Earlier work this paper cites.
Onset of global phase coherence in Josephson-junction arrays: A dissipative phase transition ,
S. Chakravarty, G.-L. Ingold, S. Kivelson and A. Luther, · 1986
Earlier work this paper cites.
Dynamics of the dissipative two-state system ,
A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg and W. Zwerger, · 1987
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Statistical field theory ,
G. Parisi, · 1988
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Superconductivity and the quantum hard-core dimer gas ,
D. S. Rokhsar and S. A. Kivelson, · 1988
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Charging effects and quantum coherence in regular Josephson junction arrays ,
L. J. Geerligs, M. Peters, L. E. M. de Groot, A. Verbruggen and J. E. Mooij, · 1989
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Boson localization and the superfluid-insulator transition ,
M. P. A. Fisher, P. B. Weichman, G. Grinstein and D. S. Fisher, · 1989
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Reaction-rate theory: fifty years after Kramers ,
P. Hänggi, P. Talkner and M. Borkovec, · 1990
Earlier work this paper cites.
Quantum Zeno effect ,
W. M. Itano, D. J. Heinzen, J. J. Bollinger and D. J. Wineland, · 1990
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Dye Lasers ,
F. P. Schäfer, ed., · 1990
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Perturbation expansions for quantum many-body systems ,
M. P. Gelfand, R. R. P. Singh and D. A. Huse, · 1990
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The multi-configurational time-dependent Hartree approach ,
H.-D. Meyer, U. Manthe and L. Cederbaum, · 1990
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Steady-state ensemble for the complex Ginzburg-Landau equation with weak noise ,
R. Graham and T. Tél, · 1990
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Thermodynamics and an Introduction to Thermostatistics ,
H. Callen, · 1991
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Class of exactly solvable master equations describing coupled nonlinear oscillators ,
S. Chaturvedi and V. Srinivasan, · 1991
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Comment on “quantum Zeno effect” ,
L. E. Ballentine, · 1991
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The quantum-state diffusion model applied to open systems ,
N. Gisin and I. C. Percival, · 1992
Earlier work this paper cites.
Wave-function approach to dissipative processes in quantum optics ,
J. Dalibard, Y. Castin and K. Mølmer, · 1992
Earlier work this paper cites.
Monte carlo simulation of the atomic master equation for spontaneous emission ,
R. Dum, P. Zoller and H. Ritsch, · 1992
Earlier work this paper cites.
Gutzwiller wave function for a model of strongly interacting bosons ,
W. Krauth, M. Caffarel and J.-P. Bouchaud, · 1992
Earlier work this paper cites.
Real-space quantum renormalization groups ,
S. R. White and R. M. Noack, · 1992
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Wave-packet dynamics within the multiconfiguration Hartree framework: General aspects and application to NOCl ,
U. Manthe, H. Meyer and L. S. Cederbaum, · 1992
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Quantum trajectory theory for cascaded open systems ,
H. J. Carmichael, · 1993
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Pattern formation outside of equilibrium ,
M. C. Cross and P. C. Hohenberg, · 1993
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Principles of condensed matter physics , vol. 10,
P. M. Chaikin, T. C. Lubensky and T. A. Witten, · 1995
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Thermo field dynamics ,
Y. Takahashi and U. Hiroomi, · 1996
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There is no quantum regression theorem ,
G. W. Ford and R. F. O’Connell, · 1996
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Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions ,
A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg, · 1996
Earlier work this paper cites.
Dissipation-driven superconductor-insulator transition in a two-dimensional Josephson-junction array ,
A. J. Rimberg, T. R. Ho, C. Kurdak, J. Clarke, K. L. Campman and A. C. Gossard, · 1997
Earlier work this paper cites.
Coherence, correlations, and collisions: What one learns about Bose-Einstein condensates from their decay ,
E. A. Burt, R. W. Ghrist, C. J. Myatt, M. J. Holland, E. A. Cornell and C. E. Wieman, · 1997
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Quantum Optics ,
M. Scully and M. Zubairy, · 1997
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Positive p representation: Application and validity ,
A. Gilchrist, C. W. Gardiner and P. D. Drummond, · 1997
Earlier work this paper cites.
Competition between one- and two-photon absorption processes ,
V. V. Dodonov and S. S. Mizrahi, · 1997
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Exact stationary photon distributions due to competition between one- and two-photon absorption and emission ,
V. V. Dodonov and S. S. Mizrahi, · 1997
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The quantum-jump approach to dissipative dynamics in quantum optics ,
M. B. Plenio and P. L. Knight, · 1998
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Continuous error correction ,
J. P. Paz and W. H. Zurek, · 1998
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Arrays of Josephson junctions: Model systems for two-dimensional physics ,
P. Martinoli, P. Lerch, C. Leemann and H. Beck, · 1999
Earlier work this paper cites.
Three-body decay of a rubidium Bose-–Einstein condensate ,
J. Söding, D. Guéry-Odelin, P. Desbiolles, F. Chevy, H. Inamori and J. Dalibard, · 1999
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The Linear Response Approximation and Its Lowest Order Corrections: An Influence Functional Approach ,
N. Makri, · 1999
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On-line learning and stochastic approximations ,
L. Bottou, · 1999
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The multiconfiguration time-dependent Hartree method generalized to the propagation of density operators ,
A. Raab, I. Burghardt and H.-D. Meyer, · 1999
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The two-dimensional physics of Josephson-junction arrays , vol. 54, pp. 266–512,
R. Newrock, C. J. Lobb, U. Geingemueller and M. Octavio, · 2000
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Two body loss rate in a magneto-optical trap of metastable He ,
A. Browaeys, J. Poupard, A. Robert, S. Nowak, W. Rooijakkers, E. Arimondo, L. Marcassa, D. Boiron, C. I. Westbrook and A. Aspect, · 2000
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Parametric oscillation in a vertical microcavity: A polariton condensate or micro-optical parametric oscillation ,
J. Baumberg, P. Savvidis, R. Stevenson, A. Tartakovskii, M. Skolnick, D. Whittaker and J. Roberts, · 2000
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Many-Particle Physics ,
G. Mahan, · 2000
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A numerical study on the performance of the multiconfiguration time-dependent Hartree method for density operators ,
A. Raab and H.-D. Meyer, · 2000
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Driving atoms into decoherence-free states ,
A. Beige, D. Braun and P. L. Knight, · 2000
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Quantum computing using dissipation to remain in a decoherence-free subspace ,
A. Beige, D. Braun, B. Tregenna and P. L. Knight, · 2000
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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering ,
S. Strogatz, · 2000
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Non-equilibrium critical phenomena and phase transitions into absorbing states ,
H. Hinrichsen, · 2000
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Quantum phase transitions and vortex dynamics in superconducting networks ,
R. Fazio and H. van der Zant, · 2001
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Introduction to Statistical Physics ,
K. Huang, · 2001
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Quantum-state engineering with Josephson-junction devices ,
Y. Makhlin, G. Schön and A. Shnirman, · 2001
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Resonance superfluidity in a quantum degenerate fermi gas ,
M. Holland, S. J. J. M. F. Kokkelmans, M. L. Chiofalo and R. Walser, · 2001
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Prospect of creating a composite fermi–bose superfluid ,
E. Timmermans, K. Furuya, P. W. Milonni and A. K. Kerman, · 2001
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Unpaired Majorana fermions in quantum wires ,
A. Y. Kitaev, · 2001
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Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms ,
M. Greiner, O. Mandel, T. Esslinger, T. W. Haensch and I. Bloch, · 2002
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Bcs-bec crossover in a gas of fermi atoms with a feshbach resonance ,
Y. Ohashi and A. Griffin, · 2002
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Five Lectures on Dissipative Master Equations , p. 55–106,
B.-G. Englert and G. Morigi, · 2002
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Decoherence, einselection, and the quantum origins of the classical ,
W. H. Zurek, · 2003
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Quantum dynamics of single trapped ions ,
D. Leibfried, R. Blatt, C. Monroe and D. Wineland, · 2003
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Three-body recombination at large scattering lengths in an ultracold atomic gas ,
T. Weber, J. Herbig, M. Mark, H.-C. Nägerl and R. Grimm, · 2003
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Glassy dynamics of kinetically constrained models ,
F. Ritort and P. Sollich, · 2003
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Theory of polariton parametric interactions in semiconductor microcavities ,
C. Ciuti, P. Schwendimann and A. Quattropani, · 2003
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Transverse-Pattern Formation in Photorefractive Optics ,
C. Denz, M. Schwab and C. Weilnau, · 2003
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Bose-Einstein Condensation ,
L. Pitaevskii and S. Stringari, · 2003
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An MCTDHF approach to multielectron dynamics in laser fields ,
J. Zanghellini, M. Kitzler, C. Fabian, T. Brabec and A. Scrinzi, · 2003
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Fault-tolerant quantum computation by anyons ,
A. Kitaev, · 2003
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Observation of reduced three-body recombination in a correlated 1d degenerate Bose gas ,
B. Laburthe Tolra, K. M. O’Hara, J. H. Huckans, W. D. Phillips, S. L. Rolston and J. V. Porto, · 2004
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Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation ,
A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin and R. J. Schoelkopf, · 2004
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Entanglement within the quantum trajectory description of open quantum systems ,
H. Nha and H. J. Carmichael, · 2004
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Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics ,
C. Gardiner and P. Zoller, · 2004
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Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm ,
M. Zwolak and G. Vidal, · 2004
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Collective rabi oscillations and solitons in a time-dependent bcs pairing problem ,
R. A. Barankov, L. S. Levitov and B. Z. Spivak, · 2004
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Matrix product density operators: Simulation of finite-temperature and dissipative systems ,
F. Verstraete, J. J. García-Ripoll and J. I. Cirac, · 2004
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Time-dependent multiconfiguration theory for electronic dynamics of molecules in an intense laser field ,
T. Kato and H. Kono, · 2004
Earlier work this paper cites.
Deterministic coupling of single quantum dots to single nanocavity modes ,
A. Badolato, K. Hennessy, M. Atature, J. Dreiser, E. Hu, P. M. Petroff and A. Imamoglu, · 2005
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Exactly solvable model of quantum diffusion ,
M. Esposito and P. Gaspard, · 2005
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Emergence of diffusion in finite quantum systems ,
M. Esposito and P. Gaspard, · 2005
Earlier work this paper cites.
Variational description of Mott insulators ,
M. Capello, F. Becca, M. Fabrizio, S. Sorella and E. Tosatti, · 2005
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The density-matrix renormalization group ,
U. Schollwöck, · 2005
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Correlated multielectron systems in strong laser fields: A multiconfiguration time-dependent Hartree–Fock approach ,
J. Caillat, J. Zanghellini, M. Kitzler, O. Koch, W. Kreuzer and A. Scrinzi, · 2005
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Electromagnetically induced transparency: Optics in coherent media ,
M. Fleischhauer, A. Imamoglu and J. P. Marangos, · 2005
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Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum monte carlo studies ,
I. Carusotto and C. Ciuti, · 2005
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Nonequilibrium quantum condensation in an incoherently pumped dissipative system ,
M. H. Szymańska, J. Keeling and P. B. Littlewood, · 2006
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Bose–einstein condensation of exciton polaritons ,
J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. Marchetti, M. Szymańska, R. André, J. Staehli et al. , · 2006
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Vacuum rabi splitting in semiconductors ,
G. Khitrova, H. Gibbs, M. Kira, S. W. Koch and A. Scherer, · 2006
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Series expansion methods for strongly interacting lattice models ,
J. Oitmaa, C. Hamer, and W. Zheng, · 2006
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Synchronization in the bcs pairing dynamics as a critical phenomenon ,
R. A. Barankov and L. S. Levitov, · 2006
Earlier work this paper cites.
Evidence for efimov quantum states in an ultracold gas of caesium atoms ,
T. Kraemer, M. Mark, P. Waldburger, J. G. Danzl, C. Chin, B. Engeser, A. D. Lange, K. Pilch, A. Jaakkola, H.-C. Nägerl and R. Grimm, · 2006
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Decoherence and the transition from quantum to classical — revisited ,
W. H. Zurek, · 2007
Earlier work this paper cites.
Entanglement entropy, decoherence, and quantum phase transitions of a dissipative two-level system ,
K. L. Hur, · 2007
Earlier work this paper cites.
Cavity QED with a Bose–Einstein condensate ,
F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl and T. Esslinger, · 2007
Earlier work this paper cites.
Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system ,
F. Dimer, B. Estienne, A. S. Parkins and H. J. Carmichael, · 2007
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Collective coherence in planar semiconductor microcavities ,
J. Keeling, F. Marchetti, M. Szymańska and P. Littlewood, · 2007
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Excitations in a nonequilibrium Bose–Einstein condensate of exciton polaritons ,
M. Wouters and I. Carusotto, · 2007
Earlier work this paper cites.
Quantum nature of a strongly coupled single quantum dot–cavity system ,
K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoğlu, · 2007
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The Theory of Open Quantum Systems , vol. 9780199213,
H. P. Breuer and F. Petruccione, · 2007
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Mean-field theory and fluctuation spectrum of a pumped decaying Bose–Fermi system across the quantum condensation transition ,
M. H. Szymańska, J. Keeling and P. B. Littlewood, · 2007
Earlier work this paper cites.
Weak binding between two aromatic rings: Feeling the van der Waals attraction by quantum Monte Carlo methods ,
S. Sorella, M. Casula and D. Rocca, · 2007
Earlier work this paper cites.
Role of excited states in the splitting of a trapped interacting Bose-Einstein condensate by a time-dependent barrier ,
A. I. Streltsov, O. E. Alon and L. S. Cederbaum, · 2007
Earlier work this paper cites.
Charge-insensitive qubit design derived from the cooper pair box ,
J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin and R. J. Schoelkopf, · 2007
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Decoherence in solid-state qubits ,
L. Chirolli and G. Burkard, · 2008
Earlier work this paper cites.
Quantum states and phases in driven open quantum systems with cold atoms ,
S. Diehl, A. Micheli, A. Kantian, B. Kraus, H. P. Büchler and P. Zoller, · 2008
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Inelastic collisions in optically trapped ultracold metastable ytterbium ,
A. Yamaguchi, S. Uetake, D. Hashimoto, J. M. Doyle and Y. Takahashi, · 2008
Earlier work this paper cites.
Strong dissipation inhibits losses and induces correlations in cold molecular gases ,
N. Syassen, D. M. Bauer, M. Lettner, T. Volz, D. Dietze, J. J. García-Ripoll, J. I. Cirac, G. Rempe and S. Dürr, · 2008
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Dissipation induced coherence of a two-mode Bose–Einstein condensate ,
D. Witthaut, F. Trimborn and S. Wimberger, · 2008
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Spontaneous rotating vortex lattices in a pumped decaying condensate ,
J. Keeling and N. G. Berloff, · 2008
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Polariton laser using single micropillar GaAs − GaAlAs \mathrm{GaAs}\mathrm{\text{$-$}}\mathrm{GaAlAs} semiconductor cavities ,
D. Bajoni, P. Senellart, E. Wertz, I. Sagnes, A. Miard, A. Lemaître and J. Bloch, · 2008
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Analysis of quantum semigroups with GKS–Lindblad generators: I. simple generators ,
B. Baumgartner, H. Narnhofer and W. Thirring, · 2008
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Analysis of quantum semigroups with GKS–Lindblad generators: Ii. general ,
B. Baumgartner and H. Narnhofer, · 2008
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Third quantization: a general method to solve master equations for quadratic open fermi systems ,
T. Prosen, · 2008
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Superoperator nonequilibrium green’s function theory of many-body systems; applications to charge transfer and transport in open junctions ,
U. Harbola and S. Mukamel, · 2008
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Mott transition in bosonic systems: Insights from the variational approach ,
M. Capello, F. Becca, M. Fabrizio and S. Sorella, · 2008
Earlier work this paper cites.
Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases ,
K. Byczuk and D. Vollhardt, · 2008
Earlier work this paper cites.
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems ,
F. Verstraete, V. Murg and J. I. Cirac, · 2008
Earlier work this paper cites.
Infinite time-evolving block decimation algorithm beyond unitary evolution ,
R. Orús and G. Vidal, · 2008
Earlier work this paper cites.
Multiconfigurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems ,
O. E. Alon, A. I. Streltsov and L. S. Cederbaum, · 2008
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Preparation of entangled states by quantum markov processes ,
B. Kraus, H. P. Büchler, S. Diehl, A. Kantian, A. Micheli and P. Zoller, · 2008
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Quantum computation and quantum-state engineering driven by dissipation ,
F. Verstraete, M. M. Wolf and J. Ignacio Cirac, · 2009
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Quantum simulators ,
I. Buluta and F. Nori, · 2009
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Emergent crystallinity and frustration withBose-Einstein condensates in multimode cavities ,
S. Gopalakrishnan, B. L. Lev and P. M. Goldbart, · 2009
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Observation of Rydberg blockade between two atoms ,
E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. Yavuz, T. Walker and M. Saffman, · 2009
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Quantum Measurement and Control ,
H. M. Wiseman and G. J. Milburn, · 2009
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Real-time diagrammatic Monte Carlo for nonequilibrium quantum transport ,
M. Schiró and M. Fabrizio, · 2009
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Diagrammatic Monte Carlo simulation of nonequilibrium systems ,
P. Werner, T. Oka and A. J. Millis, · 2009
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Nonequilibrium steady state of photoexcited correlated electrons in the presence of dissipation ,
N. Tsuji, T. Oka and H. Aoki, · 2009
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Stabilization of the p p -wave superfluid state in an optical lattice ,
Y.-J. Han, Y.-H. Chan, W. Yi, A. J. Daley, S. Diehl, P. Zoller and L.-M. Duan, · 2009
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Lieb-liniger model of a dissipation-induced tonks-girardeau gas ,
S. Dürr, J. J. García-Ripoll, N. Syassen, D. M. Bauer, M. Lettner, J. I. Cirac and G. Rempe, · 2009
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The quantum-optical Josephson interferometer ,
D. Gerace, H. E. Türeci, A. Imamoglu, V. Giovannetti and R. Fazio, · 2009
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Dissipation-induced coherent structures in Bose-Einstein condensates ,
V. A. Brazhnyi, V. V. Konotop, V. M. Pérez-García and H. Ott, · 2009
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Topological transition in a non-Hermitian quantum walk ,
M. S. Rudner and L. S. Levitov, · 2009
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Atomic Three-Body Loss as a Dynamical Three-Body Interaction ,
A. J. Daley, J. M. Taylor, S. Diehl, M. Baranov and P. Zoller, · 2009
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