Built on

M. Rigol, “Dynamics and thermalization in correlated one-dimensional lattice systems,” ArXiv e-prints (2010), arXiv:1008.1930 [cond-mat.stat-mech]
Original
1930
Earlier work this paper cites.
M. Fuchs, J. Schliemann, and B. Trauzettel, “Ultralong spin decoherence times in graphene quantum dots with a small number of nuclear spins,” Phys. Rev. B 88
Original
1979
Earlier work this paper cites.
M. Feingold and A. Peres, “Distribution of matrix elements of chaotic systems,” Phys. Rev. A 34
1986
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
R. Bhatia, Matrix analysis , Vol. 169 (Springer, 1997)
1997
Earlier work this paper cites.
M. Srednicki, “The approach to thermal equilibrium in quantized chaotic systems,” Journal of Physics A: Mathematical and General 32
1999
Earlier work this paper cites.
A. Winter, “Coding theorem and strong converse for quantum channels,” IEEE Transactions on Information Theory 45
Original
1999
Earlier work this paper cites.
M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, “Relaxation in a completely integrable many-body quantum system: An ab initio study of the dynamics of the highly excited states of 1d lattice hard-core bosons,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
M. Cramer, C. M. Dawson, J. Eisert, and T. J. Osborne, “Exact Relaxation in a Class of Nonequilibrium Quantum Lattice Systems,” Physical Review Letters 100
2008
Earlier work this paper cites.
P. Reimann, “Foundation of statistical mechanics under experimentally realistic conditions,” Physical Review Letters 101
2008
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature 452
2008
Earlier work this paper cites.
N. Linden, S. Popescu, A. J. Short, and A. Winter, “Quantum mechanical evolution towards thermal equilibrium,” Phys. Rev. E 79
2009
Earlier work this paper cites.
M. Rigol, “Breakdown of thermalization in finite one-dimensional systems,” Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
M. Diez, N. Chancellor, S. Haas, L. C. Venuti, and P. Zanardi, “Local quenches in frustrated quantum spin chains: Global versus subsystem equilibration,” Phys. Rev. A 82
Original
2010
Earlier work this paper cites.
M. Kastner, “Diverging equilibration times in long-range quantum spin models,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
A. J. Short, “Equilibration of quantum systems and subsystems,” New Journal of Physics 13
2011
Earlier work this paper cites.

Similar

A. J. Short and T. C. Farrelly, “Quantum equilibration in finite time,” New Journal of Physics 14
2012
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Vinayak and M. Žnidarič, “Subsystem dynamics under random hamiltonian evolution,” Journal of Physics A: Mathematical and Theoretical 45
2012
Cited alongside, same era.
F. G. S. L. Brandão, P. Ćwikliński, M. Horodecki, P. Horodecki, J. K. Korbicz, and M. Mozrzymas, “Convergence to equilibrium under a random hamiltonian,” Phys. Rev. E 86
2012
Cited alongside, same era.
S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, and I. Bloch, “Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas,” Nature Physics 8
Original
2012
Cited alongside, same era.
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Original

Then

P. Jurcevic, B. P. Lanyon, P. Hauke, C. Hempel, P. Zoller, R. Blatt, and C. F. Roos, “Quasiparticle engineering and entanglement propagation in a quantum many-body system,” Nature (London) 511
Original
2014
Later among the works it cites.
W. Beugeling, R. Moessner, and Masudul Haque, “Finite-size scaling of eigenstate thermalization,” Phys. Rev. E 89
2014
Later among the works it cites.
R. Steinigeweg, A. Khodja, H. Niemeyer, C. Gogolin, and J. Gemmer, “Pushing the Limits of the Eigenstate Thermalization Hypothesis towards Mesoscopic Quantum Systems,” Physical Review Letters 112
Original
2014
Later among the works it cites.
H. Kim, T. N. Ikeda, and D. A. Huse, “Testing whether all eigenstates obey the eigenstate thermalization hypothesis,” Phys. Rev. E 90
Original
2014
Later among the works it cites.
S. Goldstein, T. Hara, and H. Tasaki, “Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace,” New Journal of Physics 17

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2015

Equilibration time scales of physically relevant observables

García-Pintos, Luis Pedro, Linden, Noah, Malabarba, Artur S. L. et al.

Understand

We address the problem of understanding from first principles the conditions under which a quantum system equilibrates rapidly with respect to a concrete observable.

On the one hand previously known general upper bounds on the time scales of equilibration were unrealistically long, with times scaling linearly with the dimension of the Hilbert space.
These bounds proved to be tight, since particular constructions of observables scaling in this way were found.
On the other hand, the computed equilibration time scales for certain classes of typical measurements, or under the evolution of typical Hamiltonians, turn out to be unrealistically short.

Built on

M. Rigol, “Dynamics and thermalization in correlated one-dimensional lattice systems,” ArXiv e-prints (2010), arXiv:1008.1930 [cond-mat.stat-mech]
Original
1930
Earlier work this paper cites.
M. Fuchs, J. Schliemann, and B. Trauzettel, “Ultralong spin decoherence times in graphene quantum dots with a small number of nuclear spins,” Phys. Rev. B 88
Original
1979
Earlier work this paper cites.
M. Feingold and A. Peres, “Distribution of matrix elements of chaotic systems,” Phys. Rev. A 34
1986
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
R. Bhatia, Matrix analysis , Vol. 169 (Springer, 1997)
1997
Earlier work this paper cites.
M. Srednicki, “The approach to thermal equilibrium in quantized chaotic systems,” Journal of Physics A: Mathematical and General 32
1999
Earlier work this paper cites.
A. Winter, “Coding theorem and strong converse for quantum channels,” IEEE Transactions on Information Theory 45
Original
1999
Earlier work this paper cites.
M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, “Relaxation in a completely integrable many-body quantum system: An ab initio study of the dynamics of the highly excited states of 1d lattice hard-core bosons,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
M. Cramer, C. M. Dawson, J. Eisert, and T. J. Osborne, “Exact Relaxation in a Class of Nonequilibrium Quantum Lattice Systems,” Physical Review Letters 100
2008
Earlier work this paper cites.
P. Reimann, “Foundation of statistical mechanics under experimentally realistic conditions,” Physical Review Letters 101
2008
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature 452
2008
Earlier work this paper cites.
N. Linden, S. Popescu, A. J. Short, and A. Winter, “Quantum mechanical evolution towards thermal equilibrium,” Phys. Rev. E 79
2009
Earlier work this paper cites.
M. Rigol, “Breakdown of thermalization in finite one-dimensional systems,” Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
M. Diez, N. Chancellor, S. Haas, L. C. Venuti, and P. Zanardi, “Local quenches in frustrated quantum spin chains: Global versus subsystem equilibration,” Phys. Rev. A 82
Original
2010
Earlier work this paper cites.
M. Kastner, “Diverging equilibration times in long-range quantum spin models,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
A. J. Short, “Equilibration of quantum systems and subsystems,” New Journal of Physics 13
2011
Earlier work this paper cites.

Similar

A. J. Short and T. C. Farrelly, “Quantum equilibration in finite time,” New Journal of Physics 14
2012
Cited alongside, same era.
Vinayak and M. Žnidarič, “Subsystem dynamics under random hamiltonian evolution,” Journal of Physics A: Mathematical and Theoretical 45
2012
Cited alongside, same era.
F. G. S. L. Brandão, P. Ćwikliński, M. Horodecki, P. Horodecki, J. K. Korbicz, and M. Mozrzymas, “Convergence to equilibrium under a random hamiltonian,” Phys. Rev. E 86
2012
Cited alongside, same era.
S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, and I. Bloch, “Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas,” Nature Physics 8
Original
2012
Cited alongside, same era.
A. Riera, C. Gogolin, and J. Eisert, “Thermalization in Nature and on a Quantum Computer,” Physical Review Letters 108
Original

Then

P. Jurcevic, B. P. Lanyon, P. Hauke, C. Hempel, P. Zoller, R. Blatt, and C. F. Roos, “Quasiparticle engineering and entanglement propagation in a quantum many-body system,” Nature (London) 511
Original
2014
Later among the works it cites.
W. Beugeling, R. Moessner, and Masudul Haque, “Finite-size scaling of eigenstate thermalization,” Phys. Rev. E 89
2014
Later among the works it cites.
R. Steinigeweg, A. Khodja, H. Niemeyer, C. Gogolin, and J. Gemmer, “Pushing the Limits of the Eigenstate Thermalization Hypothesis towards Mesoscopic Quantum Systems,” Physical Review Letters 112
Original
2014
Later among the works it cites.
H. Kim, T. N. Ikeda, and D. A. Huse, “Testing whether all eigenstates obey the eigenstate thermalization hypothesis,” Phys. Rev. E 90
Original
2014
Later among the works it cites.
S. Goldstein, T. Hara, and H. Tasaki, “Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace,” New Journal of Physics 17

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2012

Cited alongside, same era.

S. Goldstein, T. Hara, and H. Tasaki, “Time scales in the approach to equilibrium of macroscopic quantum systems,” Phys. Rev. Lett. 111

Original

2013

Cited alongside, same era.

Ll. Masanes, A. J. Roncaglia, and A. Acín, “Complexity of energy eigenstates as a mechanism for equilibration,” Phys. Rev. E 87

2013

Cited alongside, same era.

M. van den Worm, B. C. Sawyer, J. J. Bollinger, and M. Kastner, “Relaxation timescales and decay of correlations in a long-range interacting quantum simulator,” New Journal of Physics 15

2013

Cited alongside, same era.

L. Campos Venuti, S. Yeshwanth, and S. Haas, “Equilibration times in clean and noisy systems,” Phys. Rev. A 87

Original

2013

Cited alongside, same era.

P. R. Zangara, A. D. Dente, E. J. Torres-Herrera, H. M. Pastawski, A. Iucci, and L. F. Santos, “Time fluctuations in isolated quantum systems of interacting particles,” Phys. Rev. E 88

2013

Cited alongside, same era.

T. Langen, R. Geiger, M. Kuhnert, B. Rauer, and J. Schmiedmayer, “Local emergence of thermal correlations in an isolated quantum many-body system,” Nature Physics 9

Original

2013

Cited alongside, same era.

R. Steinigeweg, J. Herbrych, and P. Prelovšek, “Eigenstate thermalization within isolated spin-chain systems,” Phys. Rev. E 87

Original

2013

Cited alongside, same era.

Original

2015

Closest in time.

L. Campos Venuti and P. Zanardi, “Theory of temporal fluctuations in isolated quantum systems,” International Journal of Modern Physics B 29

2015

Closest in time.

Hyungwon Kim, Mari Carmen Bañuls, J. Ignacio Cirac, Matthew B. Hastings, and David A. Huse, “Slowest local operators in quantum spin chains,” Phys. Rev. E 92

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M. Kastner and M. van den Worm, “Relaxation timescales and prethermalization in d-dimensional long-range quantum spin models,” Physica Scripta Volume T 165

Original

2015

Closest in time.

J. Eisert, M. Friesdorf, and C. Gogolin, “Quantum many-body systems out of equilibrium,” Nature Physics 11

Original

2015

Closest in time.

A. Khodja, R. Steinigeweg, and J. Gemmer, “Relevance of the eigenstate thermalization hypothesis for thermal relaxation,” Phys. Rev. E 91

Original