Built on

Seulgi Ok, Kenny Choo, Christopher Mudry, Claudio Castelnovo, Claudio Chamon, and Titus Neupert, “Topological many-body scar states in dimensions 1, 2, and 3,” arXiv e-prints , arXiv:1901.01260 (2019), arXiv:1901.01260 [cond-mat.other]
Original
1901
Earlier work this paper cites.
Federica M. Surace, Paolo P. Mazza, Giuliano Giudici, Alessio Lerose, Andrea Gambassi, and Marcello Dalmonte, “Lattice gauge theories and string dynamics in Rydberg atom quantum simulators,” arXiv e-prints , arXiv:1902.09551 (2019), arXiv:1902.09551 [cond-mat.quant-gas]
Original
1902
Earlier work this paper cites.
Thomas Iadecola, Michael Schecter, and Shenglong Xu, “Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation,” arXiv e-prints , arXiv:1903.10517 (2019), arXiv:1903.10517 [cond-mat.str-el]
Original
1903
Earlier work this paper cites.
Michael Schecter and Thomas Iadecola, “Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets,” arXiv e-prints , arXiv:1906.10131 (2019), arXiv:1906.10131 [cond-mat.str-el]
Original
1906
Earlier work this paper cites.
Sanjay Moudgalya, B. Andrei Bernevig, and Nicolas Regnault, “Quantum Many-body Scars in a Landau Level on a Thin Torus,” arXiv e-prints , arXiv:1906.05292 (2019), arXiv:1906.05292 [cond-mat.str-el]
Original
1906
Earlier work this paper cites.
Eric J. Heller, “Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits,” Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
Chen Ning Yang, “ η \eta Pairing and off-diagonal long-range order in a Hubbard model,” Phys. Rev. Lett. 63
1989
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.
M Fannes, B Nachtergaele, and R.F. Werner, “Finitely correlated states on quantum spin chains,” Communications in Mathematical Physics 144
1992
Earlier work this paper cites.
Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
M. A. Nielsen, “Conditions for a Class of Entanglement Transformations,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
Atsuhiro Kitazawa, Keigo Hijii, and Kiyohide Nomura, “An SU(2) symmetry of the one-dimensional spin-1 XY model,” Journal of Physics A: Mathematical and General 36
2003
Earlier work this paper cites.
Bill Sutherland, Beautiful Models (World Scientific, 2004) https://www.worldscientific.com/doi/pdf/10.1142/5552
2004
Earlier work this paper cites.

Similar

D.M. Basko, I.L. Aleiner, and B.L. Altshuler, “Metal insulator transition in a weakly interacting many-electron system with localized single-particle states,” Annals of Physics 321
2006
Cited alongside, same era.
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Cited alongside, same era.
Arijeet Pal and David A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82
2010
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Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
Original
2011
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
2013

Then

Dmitry A. Abanin and Zlatko Papić, “Recent progress in many-body localization,” Annalen der Physik 529
2017
Later among the works it cites.
Naoto Shiraishi and Takashi Mori, “Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
Phillip Weinberg and Marin Bukov, “QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains,” SciPost Phys. 2
2017
Later among the works it cites.
G. Kucsko, S. Choi, J. Choi, P. C. Maurer, H. Zhou, R. Landig, H. Sumiya, S. Onoda, J. Isoya, F. Jelezko, E. Demler, N. Y. Yao, and M. D. Lukin, “Critical Thermalization of a Disordered Dipolar Spin System in Diamond,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
Joshua M Deutsch, “Eigenstate thermalization hypothesis,” Reports on Progress in Physics 81

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

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Reading the bibliography…

2019

Quantum many-body scars from virtual entangled pairs

Chattopadhyay, Sambuddha, Pichler, Hannes, Lukin, Mikhail D. et al.

Understand

We study weak ergodicity breaking in a one-dimensional, nonintegrable spin-1 XY model.

We construct for it an exact, highly excited eigenstate, which despite its large energy density, can be represented analytically by a finite bond-dimension matrix product state (MPS) with area-law entanglement.
Upon a quench to a finite Zeeman field, the state undergoes periodic dynamics with perfect many-body revivals, in stark contrast to other generic initial states which instead rapidly thermalize.
This dynamics can be completely understood in terms of the evolution of entangled virtual spin-1/2 degrees of freedom, which in turn underpin the presence of an extensive tower of strong-eigenstate thermalization hypothesis (ETH)-violating many-body eigenstates.

Built on

Seulgi Ok, Kenny Choo, Christopher Mudry, Claudio Castelnovo, Claudio Chamon, and Titus Neupert, “Topological many-body scar states in dimensions 1, 2, and 3,” arXiv e-prints , arXiv:1901.01260 (2019), arXiv:1901.01260 [cond-mat.other]
Original
1901
Earlier work this paper cites.
Federica M. Surace, Paolo P. Mazza, Giuliano Giudici, Alessio Lerose, Andrea Gambassi, and Marcello Dalmonte, “Lattice gauge theories and string dynamics in Rydberg atom quantum simulators,” arXiv e-prints , arXiv:1902.09551 (2019), arXiv:1902.09551 [cond-mat.quant-gas]
Original
1902
Earlier work this paper cites.
Thomas Iadecola, Michael Schecter, and Shenglong Xu, “Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation,” arXiv e-prints , arXiv:1903.10517 (2019), arXiv:1903.10517 [cond-mat.str-el]
Original
1903
Earlier work this paper cites.
Michael Schecter and Thomas Iadecola, “Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets,” arXiv e-prints , arXiv:1906.10131 (2019), arXiv:1906.10131 [cond-mat.str-el]
Original
1906
Earlier work this paper cites.
Sanjay Moudgalya, B. Andrei Bernevig, and Nicolas Regnault, “Quantum Many-body Scars in a Landau Level on a Thin Torus,” arXiv e-prints , arXiv:1906.05292 (2019), arXiv:1906.05292 [cond-mat.str-el]
Original
1906
Earlier work this paper cites.
Eric J. Heller, “Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits,” Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
Chen Ning Yang, “ η \eta Pairing and off-diagonal long-range order in a Hubbard model,” Phys. Rev. Lett. 63
1989
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.
M Fannes, B Nachtergaele, and R.F. Werner, “Finitely correlated states on quantum spin chains,” Communications in Mathematical Physics 144
1992
Earlier work this paper cites.
Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
M. A. Nielsen, “Conditions for a Class of Entanglement Transformations,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
Atsuhiro Kitazawa, Keigo Hijii, and Kiyohide Nomura, “An SU(2) symmetry of the one-dimensional spin-1 XY model,” Journal of Physics A: Mathematical and General 36
2003
Earlier work this paper cites.
Bill Sutherland, Beautiful Models (World Scientific, 2004) https://www.worldscientific.com/doi/pdf/10.1142/5552
2004
Earlier work this paper cites.

Similar

D.M. Basko, I.L. Aleiner, and B.L. Altshuler, “Metal insulator transition in a weakly interacting many-electron system with localized single-particle states,” Annals of Physics 321
2006
Cited alongside, same era.
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Cited alongside, same era.
Arijeet Pal and David A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82
2010
Cited alongside, same era.
Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
Original
2011
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
2013

Then

Dmitry A. Abanin and Zlatko Papić, “Recent progress in many-body localization,” Annalen der Physik 529
2017
Later among the works it cites.
Naoto Shiraishi and Takashi Mori, “Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
Phillip Weinberg and Marin Bukov, “QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains,” SciPost Phys. 2
2017
Later among the works it cites.
G. Kucsko, S. Choi, J. Choi, P. C. Maurer, H. Zhou, R. Landig, H. Sumiya, S. Onoda, J. Isoya, F. Jelezko, E. Demler, N. Y. Yao, and M. D. Lukin, “Critical Thermalization of a Disordered Dipolar Spin System in Diamond,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
Joshua M Deutsch, “Eigenstate thermalization hypothesis,” Reports on Progress in Physics 81

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

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2013

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2014

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2015

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2016

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2016

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2016

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2019

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