Fetching the paper…
Reading the bibliography…
In order to model realistic quantum devices it is necessary to simulate quantum systems strongly coupled to their environment.
H. F. Trotter, “On the product of semi-groups of operators,” Proc. Am. Math. Soc. 10
1959
Earlier work this paper cites.
Masuo Suzuki, “Generalized Trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems,” Comm. Math. Phys. 51
1976
Earlier work this paper cites.
A. J. Leggett, S. Chakravarty, A. T. Dorsey, Matthew P. A. Fisher, Anupam Garg, and W. Zwerger, “Dynamics of the dissipative two-state system,” Rev. Mod. Phys. 59
1987
Earlier work this paper cites.
Yoshitaka Tanimura and Ryogo 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.
Steven R. White, “Density matrix formulation for quantum renormalization groups,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
B Derrida, M R Evans, V Hakim, and V Pasquier, “Exact solution of a 1d asymmetric exclusion model using a matrix formulation,” J. Phys. A: Math. Gen. 26
1993
Earlier work this paper cites.
B. M. Garraway, “Nonperturbative decay of an atomic system in a cavity,” Phys. Rev. A 55
1997
Earlier work this paper cites.
G. D. Mahan, Many Particle Physics , 3rd ed. (Springer, 2000)
2000
Earlier work this paper cites.
Eunji Sim, “Quantum dynamics for a system coupled to slow baths: On-the-fly filtered propagator method,” J. Chem. Phys. 115
2001
Earlier work this paper cites.
H.-P. Breuer and F. Petruccione, The theory of open quantum systems (Oxford University Press, 2002)
2002
Earlier work this paper cites.
Guifré Vidal, “Efficient classical simulation of slightly entangled quantum computations,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
Ralf Bulla, Ning-Hua Tong, and Matthias Vojta, “Numerical renormalization group for bosonic systems and application to the sub-ohmic spin-boson model,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
M. Thorwart, J. Eckel, and E. R. Mucciolo, “Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons,” Phys. Rev. B 72
2005
Earlier work this paper cites.
T. M. Stace, A. C. Doherty, and S. D. Barrett, “Population inversion of a driven two-level system in a structureless bath,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
D. F. Walls and G. J. Milburn, Quantum Optics , 2nd ed. (Springer, 2007)
2007
Earlier work this paper cites.
S. Jang, “Theory of coherent resonance energy transfer for coherent initial condition,” J. Chem. Phys. 131
2009
Earlier work this paper cites.
P. Kaer, T. R. Nielsen, P. Lodahl, A.-P. Jauho, and J. Mørk, “Non-Markovian model of photon-assisted dephasing by electron-phonon interactions in a coupled quantum-dot–cavity system,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
S. Florens, D. Venturelli, and R. Narayanan, in Quantum Quenching, Annealing and Computation , edited by Anjan Kumar Chandra, Arnab Das, and Bikas K. Chakrabarti (Springer Berlin Heidelberg, Berlin, Heidelberg, 2010) pp. 145–162
2010
Earlier work this paper cites.
K. Le Hur, “Quantum phase transitions in spin-boson systems: Dissipation and light phenomena,” in Understanding Quantum Phase Transitions , edited by L. Carr (CRC press, 2010)
2010
Earlier work this paper cites.
Peter P. Orth, David Roosen, Walter Hofstetter, and Karyn Le Hur, “Dynamics, synchronization, and quantum phase transitions of two dissipative spins,” Phys. Rev. B 82
2010
Earlier work this paper cites.
Dara P. S. McCutcheon, Ahsan Nazir, Sougato Bose, and Andrew J. Fisher, “Separation-dependent localization in a two-impurity spin-boson model,” Phys. Rev. B 81
2010
Cited alongside, same era.
P Nalbach, J Eckel, and M Thorwart, “Quantum coherent biomolecular energy transfer with spatially correlated fluctuations,” New J. Phys. 12
2010
Cited alongside, same era.
E M Stoudenmire and Steven R White, “Minimally entangled typical thermal state algorithms,” New J. Phys. 12
2010
Cited alongside, same era.
K. H. Madsen, S. Ates, T. Lund-Hansen, A. Löffler, S. Reitzenstein, A. Forchel, and P. Lodahl, “Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity,” Phys. Rev. Lett. 106
2011
Cited alongside, same era.
D. P. S. McCutcheon, N. S. Dattani, E. M. Gauger, B. W. Lovett, and A. Nazir, “A general approach to quantum dynamics using a variational master equation: Application to phonon-damped rabi rotations in quantum dots,” Phys. Rev. B 84
Román Orús, “A practical introduction to tensor networks: Matrix product states and projected entangled pair states,” Ann. Phys. (N.Y.) 349
2014
Later among the works it cites.
André Winter and Heiko Rieger, “Quantum phase transition and correlations in the multi-spin-boson model,” Phys. Rev. B 90
2014
Later among the works it cites.
Javier Cerrillo and Jianshu Cao, “Non-Markovian dynamical maps: Numerical processing of open quantum trajectories,” Phys. Rev. Lett. 112
2014
Later among the works it cites.
S. Gröblacher, A. Trubarov, N. Prigge, G. D. Cole, M. Aspelmeyer, and J. Eisert, “Observation of non-Markovian micromechanical brownian motion,” Nat. Commun. 6
2015
Later among the works it cites.
G. Cohen, E. Gull, D. R. Reichman, and A. J. Millis, “Taming the dynamical sign problem in real-time evolution of quantum many-body problems,” Phys. Rev. Lett. 115
2015
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
D P. S. McCutcheon and A. Nazir, “Coherent and incoherent dynamics in excitonic energy transfer: Correlated fluctuations and off-resonance effects,” Phys. Rev. B 83
2011
Cited alongside, same era.
C. Roy and S. Hughes, “Influence of electron–acoustic-phonon scattering on intensity power broadening in a coherently driven quantum-dot–cavity system,” Phys. Rev. X 1
2011
Cited alongside, same era.
Peter Nalbach, Akihito Ishizaki, Graham R Fleming, and Michael Thorwart, “Iterative path-integral algorithm versus cumulant time-nonlocal master equation approach for dissipative biomolecular exciton transport,” New J. Phys. 13
2011
Cited alongside, same era.
Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Ann. Phys. (N.Y.) 326
2011
Cited alongside, same era.
I. V. Oseledets, “Tensor-train decomposition,” SIAM J. Sci. Comput. 33
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.
Roberto Lambert and Nancy Makri, “Memory propagator matrix for long-time dissipative charge transfer dynamics,” Mol. Phys. 110
2012
Cited alongside, same era.
Later among the works it cites.
T. H. Johnson, T. J. Elliott, S. R. Clark, and D. Jaksch, “Capturing exponential variance using polynomial resources: Applying tensor networks to nonequilibrium stochastic processes,” Phys. Rev. Lett. 114
2015
Later among the works it cites.
I. Aharonovich, D. Englund, and M. Toth, “Solid-state single-photon emitters,” Nat. Photon. 10
2016
Later among the works it cites.
M. K. Lee, P. Huo, and D. F. Coker, “Semiclassical path integral dynamics: Photosynthetic energy transfer with realistic environment interactions,” Ann. Rev. Phys. Chem. 67
2016
Later among the works it cites.
D. Segal and B. K. Agarwalla, “Vibrational heat transport in molecular junctions,” Ann. Rev. Phys. Chem. 67
2016
Later among the works it cites.
J. E. Subotnik, A. Jain, B. Landry, A. Petit, W. Ouyang, and N. Bellonzi, “Understanding the surface hopping view of electronic transitions and decoherence,” Ann. Rev. Phys. Chem. 67
2016
Later among the works it cites.
Edwin Stoudenmire and David J Schwab, “Supervised learning with tensor networks,” in Advances in Neural Information Processing Systems 29 , edited by D. D. Lee, M. Sugiyama, U. V. Luxburg, I. Guyon, and R. Garnett (Curran Associates, Inc., 2016) pp. 4799–4807
2016
Later among the works it cites.
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
Later among the works it cites.
I. de Vega and D. Alonso, “Dynamics of non-Markovian open quantum systems,” Rev. Mod. Phys. 89
2017
Closest in time.
X. Mi, J. V. Cady, D. M. Zajac, P. W. Deelman, and J. R. Petta, “Strong coupling of a single electron in silicon to a microwave photon,” Science 355
2017
Closest in time.
H.-T. Chen, G. Cohen, and D. R. Reichman, “Inchworm Monte Carlo for exact non-adiabatic dynamics. ii. benchmarks and comparison with established methods,” J. Chem. Phys. 146
2017
Closest in time.
2017
Closest in time.
M. Cygorek, A. M. Barth, F. Ungar, A. Vagov, and V. M. Axt, “Nonlinear cavity feeding and unconventional photon statistics in solid-state cavity QED revealed by many-level real-time path-integral calculations,” Phys. Rev. B 96
2017
Closest in time.
A. Strathearn, B. W. Lovett, and P. Kirton, “Efficient real-time path integrals for non-Markovian spin-boson models,” New J. Phys. 19
2017
Closest in time.
A. Potočnik, A. Bargerbos, F. A. Y. N. Schröder, S. A. Khan, M. C. Collodo, S. Gasparinetti, Y. Salathé, C. Creatore, C. Eichler, H. E. Türeci, A. W. Chin, and A. Wallraff, “Studying light-harvesting models with superconducting circuits,” Nat. Commun. 9
2018
Closest in time.