Fetching the paper…
Reading the bibliography…
We present a numerical method to simulate non-equilibrium Floquet steady states of one-dimensional periodically-driven (Floquet) many-body systems coupled to a dissipative bath, called open-system Floquet DMRG (OFDMRG).
Jean Dalibard, Yvan Castin, and Klaus Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Phys. Rev. Lett. 68
1992
Earlier work this paper cites.
R. Dum, P. Zoller, and H. Ritsch, “Monte carlo simulation of the atomic master equation for spontaneous emission,” Phys. Rev. A 45
1992
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.
Klaus Mølmer, Yvan Castin, and Jean Dalibard, “Monte carlo wave-function method in quantum optics,” J. Opt. Soc. Am. B 10
1993
Earlier work this paper cites.
Heinz-Peter. Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Clarendon, 2002)
2002
Earlier work this paper cites.
2003
Earlier work this paper cites.
F. Verstraete, J. J. García-Ripoll, and J. I. Cirac, “Matrix product density operators: Simulation of finite-temperature and dissipative systems,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
Michael Zwolak and Guifré Vidal, “Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
Guifré Vidal, “Efficient simulation of one-dimensional quantum many-body systems,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
Steven R. White and Adrian E. Feiguin, “Real-time evolution using the density matrix renormalization group,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
U. Schollwöck, “The density-matrix renormalization group,” Rev. Mod. Phys. 77
2005
Earlier work this paper cites.
Michael M. Wolf, Frank Verstraete, Matthew B. Hastings, and J. Ignacio Cirac, “Area laws in quantum systems: Mutual information and correlations,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
E.M. Stoudenmire and Steven R. White, “Studying Two-Dimensional Systems with the Density Matrix Renormalization Group,” Annual Review of Condensed Matter Physics 3
2012
Earlier work this paper cites.
J.R. Johansson, P.D. Nation, and Franco Nori, “Qutip 2: A python framework for the dynamics of open quantum systems,” Computer Physics Communications 184
2013
Earlier work this paper cites.
Luca D’Alessio and Marcos Rigol, “Long-time Behavior of Isolated Periodically Driven Interacting Lattice Systems,” Physical Review X 4
2014
Earlier work this paper cites.
Achilleas Lazarides, Arnab Das, and Roderich Moessner, “Equilibrium states of generic quantum systems subject to periodic driving,” Physical Review E 90
2014
Earlier work this paper cites.
Achilleas Lazarides, Arnab Das, and Roderich Moessner, “Fate of Many-Body Localization Under Periodic Driving,” Physical Review Letters 115
2015
Earlier work this paper cites.
Dmitry A. Abanin, Wojciech De Roeck, and François Huveneers, “Exponentially Slow Heating in Periodically Driven Many-Body Systems,” Physical Review Letters 115
2015
Cited alongside, same era.
Marin Bukov, Luca D’Alessio, and Anatoli Polkovnikov, “Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering,” Advances in Physics 64
2015
Cited alongside, same era.
André Eckardt and Egidijus Anisimovas, “High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective,” New Journal of Physics 17
2015
Cited alongside, same era.
Farhang Haddadfarshi, Jian Cui, and Florian Mintert, “Completely Positive Approximate Solutions of Driven Open Quantum Systems,” Physical Review Letters 114
2015
Cited alongside, same era.
Takashi Oka and Sota Kitamura, “Floquet Engineering of Quantum Materials,” Annual Review of Condensed Matter Physics 10
2018
Later among the works it cites.
Philipp T. Dumitrescu, Romain Vasseur, and Andrew C. Potter, “Logarithmically slow relaxation in quasiperiodically driven random spin chains,” Phys. Rev. Lett. 120
2018
Later among the works it cites.
2019
Later among the works it cites.
Kaoru Mizuta, Kazuaki Takasan, and Norio Kawakami, “High-frequency expansion for Floquet prethermal phases with emergent symmetries: Application to time crystals and Floquet engineering,” Physical Review B 100
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2015
Cited alongside, same era.
Eduardo Mascarenhas, Hugo Flayac, and Vincenzo Savona, “Matrix-product-operator approach to the nonequilibrium steady state of driven-dissipative quantum arrays,” Physical Review A 92
2015
Cited alongside, same era.
Karthik I. Seetharam, Charles-Edouard Bardyn, Netanel H. Lindner, Mark S. Rudner, and Gil Refael, “Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths,” Physical Review X 5
2015
Cited alongside, same era.
Andrew C Potter and Romain Vasseur, “Symmetry constraints on many-body localization,” Physical Review B 94
2016
Cited alongside, same era.
Sumilan Banerjee and Ehud Altman, “Variable-range hopping through marginally localized phonons,” Physical Review Letters 116
2016
Cited alongside, same era.
C. M. Dai, Z. C. Shi, and X. X. Yi, “Floquet theorem with open systems and its applications,” Physical Review A 93
2016
Cited alongside, same era.
Dominic V. Else, Bela Bauer, and Chetan Nayak, “Floquet Time Crystals,” Physical Review Letters 117
2016
Cited alongside, same era.
A. H. Werner, D. Jaschke, P. Silvi, M. Kliesch, T. Calarco, J. Eisert, and S. Montangero, “Positive Tensor Network Approach for Simulating Open Quantum Many-Body Systems,” Physical Review Letters 116
2016
Cited alongside, same era.
2020
Later among the works it cites.
Tatsuhiko Shirai and Takashi Mori, “Thermalization in open many-body systems based on eigenstate thermalization hypothesis,” Physical Review E 101
2020
Later among the works it cites.
Frederik Nathan and Mark S. Rudner, “Universal Lindblad equation for open quantum systems,” Physical Review B 102
2020
Later among the works it cites.
Evgeny Mozgunov and Daniel Lidar, “Completely positive master equation for arbitrary driving and small level spacing,” Quantum 4
2020
Later among the works it cites.
Tatsuhiko Ikeda, Koki Chinzei, and Masahiro Sato, “Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck’s high-frequency expansion approach,” SciPost Physics Core 4
2021
Later among the works it cites.
Hendrik Weimer, Augustine Kshetrimayum, and Román Orús, “Simulation methods for open quantum many-body systems,” Rev. Mod. Phys. 93
2021
Later among the works it cites.
Antonis Kyprianidis, Francisco Machado, William Morong, Patrick Becker, Kate S Collins, Dominic V Else, Lei Feng, Paul W Hess, Chetan Nayak, Guido Pagano, et al. , “Observation of a prethermal discrete time crystal,” Science 372
2021
Later among the works it cites.
Kaoru Mizuta, Kazuaki Takasan, and Norio Kawakami, “Breakdown of markovianity by interactions in stroboscopic floquet-lindblad dynamics under high-frequency drive,” Phys. Rev. A 103
2021
Later among the works it cites.
Alexander Schnell, Sergey Denisov, and André Eckardt, “High-frequency expansions for time-periodic lindblad generators,” Phys. Rev. B 104
2021
Later among the works it cites.
Takashi Mori, “Floquet states in open quantum systems,” arXiv preprint arXiv:2203.16358 (2022)
2022
Closest in time.
Aaron J. Friedman, Brayden Ware, Romain Vasseur, and Andrew C. Potter, “Topological edge modes without symmetry in quasiperiodically driven spin chains,” Phys. Rev. B 105
2022
Closest in time.