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The central challenge for describing the dynamics in open quantum systems is that the Hilbert space of typical environments is too large to be treated exactly.
P. M. Morse, Diatomic molecules according to the wave mechanics. ii. vibrational levels, Phys. Rev. 34
1929
Earlier work this paper cites.
C. Eckart and G. Young, The approximation of one matrix by another of lower rank, Psychometrika 1
1936
Earlier work this paper cites.
R. Feynman and F. Vernon, The theory of a general quantum system interacting with a linear dissipative system, Ann. Phys. (N.Y.) 24
1963
Earlier work this paper cites.
A. G. Redfield, The theory of relaxation processes, in Advances in Magnetic Resonance , Advances in Magnetic and Optical Resonance, Vol. 1, edited by J. S. Waugh (Academic Press, 1965) pp. 1 – 32
1965
Earlier work this paper cites.
M. Gross and S. Haroche, Superradiance: An essay on the theory of collective spontaneous emission, Physics Reports 93
1982
Earlier work this paper cites.
Y. Tanimura and R. Kubo, Time evolution of a quantum system in contact with a nearly Gaussian-Markoffian noise bath, J. Phys. Soc. Jpn. 58
1989
Earlier work this paper cites.
N. Makri and D. E. Makarov, Tensor propagator for iterative quantum time evolution of reduced density matrices. I. Theory, J. Chem. Phys. 102
1995
Earlier work this paper cites.
M. B. Plenio and P. L. Knight, The quantum-jump approach to dissipative dynamics in quantum optics, Rev. Mod. Phys. 70
1998
Earlier work this paper cites.
T. Brandes and B. Kramer, Spontaneous emission of phonons by coupled quantum dots, Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
A. Beige, D. Braun, B. Tregenna, and P. L. Knight, Quantum computing using dissipation to remain in a decoherence-free subspace, Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002)
2002
Earlier work this paper cites.
F. Rossi and T. Kuhn, Theory of ultrafast phenomena in photoexcited semiconductors, Rev. Mod. Phys. 74
2002
Earlier work this paper cites.
A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation, Phys. Rev. A 69
2004
Earlier work this paper cites.
B. Krummheuer, V. M. Axt, T. Kuhn, I. D’Amico, and F. Rossi, Pure dephasing and phonon dynamics in gaas- and gan-based quantum dot structures: Interplay between material parameters and geometry, Phys. Rev. B 71
2005
Earlier work this paper cites.
Y. Tanimura, Stochastic Liouville, Langevin, Fokker–Planck, and Master Equation Approaches to Quantum Dissipative Systems, J. Phys. Soc. Jpn. 75
2006
Earlier work this paper cites.
M. B. Plenio and S. F. Huelga, Dephasing-assisted transport: quantum networks and biomolecules, New J. Phys. 10
2008
Earlier work this paper cites.
P. Rebentrost, M. Mohseni, I. Kassal, S. Lloyd, and A. Aspuru-Guzik, Environment-assisted quantum transport, New J. Phys. 11
2009
Earlier work this paper cites.
F. Verstraete, M. M. Wolf, and J. I. Cirac, Quantum computation and quantum-state engineering driven by dissipation, Nat. Phys. 5
2009
Earlier work this paper cites.
M. C. Bañuls, M. B. Hastings, F. Verstraete, and J. I. Cirac, Matrix product states for dynamical simulation of infinite chains, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
A. W. Chin, A. Datta, F. Caruso, S. F. Huelga, and M. B. Plenio, Noise-assisted energy transfer in quantum networks and light-harvesting complexes, New J. Phys. 12
2010
Earlier work this paper cites.
J. Prior, A. W. Chin, S. F. Huelga, and M. B. Plenio, Efficient simulation of strong system-environment interactions, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
2011
Cited alongside, same era.
A. Vagov, M. D. Croitoru, M. Glässl, V. M. Axt, and T. Kuhn, Real-time path integrals for quantum dots: Quantum dissipative dynamics with superohmic environment coupling, Phys. Rev. B 83
2011
Cited alongside, same era.
U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Ann. Phys. (N.Y.) 326
2011
Cited alongside, same era.
D. Nagy, G. Szirmai, and P. Domokos, Critical exponent of a quantum-noise-driven phase transition: The open-system dicke model, Phys. Rev. A 84
2011
Cited alongside, same era.
U. Hoeppe, C. Wolff, J. Küchenmeister, J. Niegemann, M. Drescher, H. Benner, and K. Busch, Direct observation of non-markovian radiation dynamics in 3d bulk photonic crystals, Phys. Rev. Lett. 108
M. T. Mitchison and M. B. Plenio, Non-additive dissipation in open quantum networks out of equilibrium, New J. Phys. 20
2018
Later among the works it cites.
A. Strathearn, P. Kirton, D. Kilda, J. Keeling, and B. W. Lovett, Efficient non-markovian quantum dynamics using time-evolving matrix product operators, Nat. Commun. 9
2018
Later among the works it cites.
A. D. Somoza, O. Marty, J. Lim, S. F. Huelga, and M. B. Plenio, Dissipation-assisted matrix product factorization, Phys. Rev. Lett. 123
2019
Later among the works it cites.
M. Cosacchi, F. Ungar, M. Cygorek, A. Vagov, and V. M. Axt, Emission-frequency separated high quality single-photon sources enabled by phonons, Phys. Rev. Lett. 123
2019
Later among the works it cites.
T. Seidelmann, F. Ungar, A. M. Barth, A. Vagov, V. M. Axt, M. Cygorek, and T. Kuhn, Phonon-induced enhancement of photon entanglement in quantum dot-cavity systems, Phys. Rev. Lett. 123
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2012
Cited alongside, same era.
L. Simine and D. Segal, Path-integral simulations with fermionic and bosonic reservoirs: Transport and dissipation in molecular electronic junctions, The Journal of Chemical Physics 138
2013
Cited alongside, same era.
R. Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Ann. Phys. (N.Y.) 349
2014
Cited alongside, same era.
J. H. Quilter, A. J. Brash, F. Liu, M. Glässl, A. M. Barth, V. M. Axt, A. J. Ramsay, M. S. Skolnick, and A. M. Fox, Phonon-assisted population inversion of a single InGaAs / GaAs \mathrm{InGaAs}/\mathrm{GaAs} quantum dot by pulsed laser excitation, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
K. Roy-Choudhury and S. Hughes, Spontaneous emission from a quantum dot in a structured photonic reservoir: phonon-mediated breakdown of Fermi’s golden rule, Optica 2
2015
Cited alongside, same era.
A. Nazir and D. P. S. McCutcheon, Modelling exciton–phonon interactions in optically driven quantum dots, J. Phys.: Condens. Matter 28
2016
Cited alongside, same era.
H.-P. Breuer, E.-M. Laine, J. Piilo, and B. Vacchini, Colloquium: Non-markovian dynamics in open quantum systems, Rev. Mod. Phys. 88
2016
Cited alongside, same era.
A. M. Barth, A. Vagov, and V. M. Axt, Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems, Phys. Rev. B 94
2016
Cited alongside, same era.
2019
Later among the works it cites.
M. R. Jørgensen and F. A. Pollock, Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-markovian path integrals, Phys. Rev. Lett. 123
2019
Later among the works it cites.
I. A. Luchnikov, S. V. Vintskevich, H. Ouerdane, and S. N. Filippov, Simulation complexity of open quantum dynamics: Connection with tensor networks, Phys. Rev. Lett. 122
2019
Later among the works it cites.
H. Maguire, J. Iles-Smith, and A. Nazir, Environmental nonadditivity and Franck–Condon physics in nonequilibrium quantum systems, Phys. Rev. Lett. 123
2019
Later among the works it cites.
D. A. Gangloff, G. Éthier-Majcher, C. Lang, E. V. Denning, J. H. Bodey, D. M. Jackson, E. Clarke, M. Hugues, C. Le Gall, and M. Atatüre, Quantum interface of an electron and a nuclear ensemble, Science 364
2019
Later among the works it cites.
M. R. Jørgensen and F. A. Pollock, Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-markovian path integrals, Phys. Rev. Lett. 123
2019
Later among the works it cites.
Y. Tanimura, Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (HEOM), J. Chem. Phys. 153
2020
Later among the works it cites.
A. Nüßeler, I. Dhand, S. F. Huelga, and M. B. Plenio, Efficient simulation of open quantum systems coupled to a fermionic bath, Phys. Rev. B 101
2020
Later among the works it cites.
2020
Later among the works it cites.
2020
Later among the works it cites.
M. Bramberger and I. De Vega, Dephasing dynamics of an impurity coupled to an anharmonic environment, Phys. Rev. A 101
2020
Later among the works it cites.
M. Bramberger and I. De Vega, Dephasing dynamics of an impurity coupled to an anharmonic environment, Phys. Rev. A 101
2020
Later among the works it cites.
E. Ye and G. K.-L. Chan, Constructing tensor network influence functionals for general quantum dynamics, The Journal of Chemical Physics 155
2021
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A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, Theory of trotter error with commutator scaling, Phys. Rev. X 11
2021
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E. Ye and G. K.-L. Chan, Constructing tensor network influence functionals for general quantum dynamics, The Journal of Chemical Physics 155
2021
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M. Cygorek, Automated Compression of Environments (ACE) , http://dx.doi.org/10.5281/zenodo.5214128 (2021)
2021
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