This content will become publicly available on July 15, 2020
Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models
Abstract
In this paper, we introduce a family of nonintegrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-body scarring recently observed in Rydberg atom quantum simulators. Our construction is based on a systematic embedding of the single-site unitary dynamics into a kinetically constrained many-body system. We numerically demonstrate that this construction yields new families of models with robust wave-function revivals, and it includes kinetically constrained quantum clock models as a special case. We show that scarring dynamics in these models can be decomposed into a period of nearly free clock precession and an interacting bottleneck, shedding light on their anomalously slow thermalization when quenched from special initial states.
- Authors:
-
[1]
- Univ. of Leeds, Leeds (United Kingdom). School of Physics and Astronomy
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1546067
- Alternate Identifier(s):
- OSTI ID: 1546388
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 123; Journal Issue: 3; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Bull, Kieran, Martin, Ivar, and Papić, Z. Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.030601.
Bull, Kieran, Martin, Ivar, & Papić, Z. Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models. United States. doi:10.1103/PhysRevLett.123.030601.
Bull, Kieran, Martin, Ivar, and Papić, Z. Mon .
"Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models". United States. doi:10.1103/PhysRevLett.123.030601.
@article{osti_1546067,
title = {Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models},
author = {Bull, Kieran and Martin, Ivar and Papić, Z.},
abstractNote = {In this paper, we introduce a family of nonintegrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-body scarring recently observed in Rydberg atom quantum simulators. Our construction is based on a systematic embedding of the single-site unitary dynamics into a kinetically constrained many-body system. We numerically demonstrate that this construction yields new families of models with robust wave-function revivals, and it includes kinetically constrained quantum clock models as a special case. We show that scarring dynamics in these models can be decomposed into a period of nearly free clock precession and an interacting bottleneck, shedding light on their anomalously slow thermalization when quenched from special initial states.},
doi = {10.1103/PhysRevLett.123.030601},
journal = {Physical Review Letters},
number = 3,
volume = 123,
place = {United States},
year = {2019},
month = {7}
}
Free Publicly Available Full Text
This content will become publicly available on July 15, 2020
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Local Conservation Laws and the Structure of the Many-Body Localized States
journal, September 2013
- Serbyn, Maksym; Papić, Z.; Abanin, Dmitry A.
- Physical Review Letters, Vol. 111, Issue 12
Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
journal, April 2019
- Lin, Cheng-Ju; Motrunich, Olexei I.
- Physical Review Letters, Vol. 122, Issue 17
Signatures of integrability in the dynamics of Rydberg-blockaded chains
journal, April 2019
- Khemani, Vedika; Laumann, Chris R.; Chandran, Anushya
- Physical Review B, Vol. 99, Issue 16
Thermalization and its mechanism for generic isolated quantum systems
journal, April 2008
- Rigol, Marcos; Dunjko, Vanja; Olshanii, Maxim
- Nature, Vol. 452, Issue 7189
Collective Rydberg excitations of an atomic gas confined in a ring lattice
journal, April 2009
- Olmos, B.; González-Férez, R.; Lesanovsky, I.
- Physical Review A, Vol. 79, Issue 4
Thermalization and prethermalization in isolated quantum systems: a theoretical overview
journal, May 2018
- Mori, Takashi; Ikeda, Tatsuhiko N.; Kaminishi, Eriko
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 11
Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits
journal, October 1984
- Heller, Eric J.
- Physical Review Letters, Vol. 53, Issue 16
Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
journal, April 2016
- Gogolin, Christian; Eisert, Jens
- Reports on Progress in Physics, Vol. 79, Issue 5
Absence of Diffusion in Certain Random Lattices
journal, March 1958
- Anderson, P. W.
- Physical Review, Vol. 109, Issue 5
Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations
journal, October 2018
- Turner, C. J.; Michailidis, A. A.; Abanin, D. A.
- Physical Review B, Vol. 98, Issue 15
Prethermal Phases of Matter Protected by Time-Translation Symmetry
journal, March 2017
- Else, Dominic V.; Bauer, Bela; Nayak, Chetan
- Physical Review X, Vol. 7, Issue 1
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars
journal, June 2019
- Choi, Soonwon; Turner, Christopher J.; Pichler, Hannes
- Physical Review Letters, Vol. 122, Issue 22
Singular continuous quasienergy spectrum in the kicked rotator with separable perturbation: Possibility of the onset of quantum chaos
journal, September 1990
- Milek, B.; Seba, P.
- Physical Review A, Vol. 42, Issue 6
Nonthermal States Arising from Confinement in One and Two Dimensions
journal, April 2019
- James, Andrew J. A.; Konik, Robert M.; Robinson, Neil J.
- Physical Review Letters, Vol. 122, Issue 13
Critical Thermalization of a Disordered Dipolar Spin System in Diamond
journal, July 2018
- Kucsko, G.; Choi, S.; Choi, J.
- Physical Review Letters, Vol. 121, Issue 2
Quantum field theory for the chiral clock transition in one spatial dimension
journal, November 2018
- Whitsitt, Seth; Samajdar, Rhine; Sachdev, Subir
- Physical Review B, Vol. 98, Issue 20
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models
journal, June 2016
- Labuhn, Henning; Barredo, Daniel; Ravets, Sylvain
- Nature, Vol. 534, Issue 7609
A simple solvable ZN Hamiltonian
journal, September 1989
- Baxter, R. J.
- Physics Letters A, Vol. 140, Issue 4
Observation of spatially ordered structures in a two-dimensional Rydberg gas
journal, October 2012
- Schauß, Peter; Cheneau, Marc; Endres, Manuel
- Nature, Vol. 491, Issue 7422
Exact excited states of nonintegrable models
journal, December 2018
- Moudgalya, Sanjay; Rachel, Stephan; Bernevig, B. Andrei
- Physical Review B, Vol. 98, Issue 23
Conductance fluctuations and chaotic scattering in ballistic microstructures
journal, July 1992
- Marcus, C. M.; Rimberg, A. J.; Westervelt, R. M.
- Physical Review Letters, Vol. 69, Issue 3
Probing many-body dynamics on a 51-atom quantum simulator
journal, November 2017
- Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander
- Nature, Vol. 551, Issue 7682
Many-body localization in a quantum simulator with programmable random disorder
journal, June 2016
- Smith, J.; Lee, A.; Richerme, P.
- Nature Physics, Vol. 12, Issue 10
Classical Simulation of Infinite-Size Quantum Lattice Systems in One Spatial Dimension
journal, February 2007
- Vidal, G.
- Physical Review Letters, Vol. 98, Issue 7
Onsager symmetries in $U(1)$ -invariant clock models
journal, April 2019
- Vernier, Eric; O’Brien, Edward; Fendley, Paul
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, Issue 4
Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006
- Calabrese, Pasquale; Cardy, John
- Physical Review Letters, Vol. 96, Issue 13
Localization of interacting fermions at high temperature
journal, April 2007
- Oganesyan, Vadim; Huse, David A.
- Physical Review B, Vol. 75, Issue 15
Universal time evolution of a Rydberg lattice gas with perfect blockade
journal, July 2012
- Olmos, B.; González-Férez, R.; Lesanovsky, I.
- Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 32
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
journal, May 2016
- D'Alessio, Luca; Kafri, Yariv; Polkovnikov, Anatoli
- Advances in Physics, Vol. 65, Issue 3
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
journal, July 2015
- Schreiber, M.; Hodgman, S. S.; Bordia, P.
- Science, Vol. 349, Issue 6250
Entanglement of exact excited states of Affleck-Kennedy-Lieb-Tasaki models: Exact results, many-body scars, and violation of the strong eigenstate thermalization hypothesis
journal, December 2018
- Moudgalya, Sanjay; Regnault, Nicolas; Bernevig, B. Andrei
- Physical Review B, Vol. 98, Issue 23
Real-time confinement following a quantum quench to a non-integrable model
journal, November 2016
- Kormos, Marton; Collura, Mario; Takács, Gabor
- Nature Physics, Vol. 13, Issue 3
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
journal, April 2019
- Keesling, Alexander; Omran, Ahmed; Levine, Harry
- Nature, Vol. 568, Issue 7751
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006
- Basko, D. M.; Aleiner, I. L.; Altshuler, B. L.
- Annals of Physics, Vol. 321, Issue 5
Observation of 'scarred' wavefunctions in a quantum well with chaotic electron dynamics
journal, April 1996
- Wilkinson, P. B.; Fromhold, T. M.; Eaves, L.
- Nature, Vol. 380, Issue 6575
Experimental observation of scarred eigenfunctions of chaotic microwave cavities
journal, August 1991
- Sridhar, S.
- Physical Review Letters, Vol. 67, Issue 7
Many-body spectral reflection symmetry and protected infinite-temperature degeneracy
journal, July 2018
- Schecter, Michael; Iadecola, Thomas
- Physical Review B, Vol. 98, Issue 3
Localization in spin chains with facilitation constraints and disordered interactions
journal, June 2019
- Ostmann, Maike; Marcuzzi, Matteo; Garrahan, Juan P.
- Physical Review A, Vol. 99, Issue 6
Periodic Orbits, Entanglement, and Quantum Many-Body Scars in Constrained Models: Matrix Product State Approach
journal, January 2019
- Ho, Wen Wei; Choi, Soonwon; Pichler, Hannes
- Physical Review Letters, Vol. 122, Issue 4
Free parafermions
journal, January 2014
- Fendley, Paul
- Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 7
Weak ergodicity breaking from quantum many-body scars
journal, May 2018
- Turner, C. J.; Michailidis, A. A.; Abanin, D. A.
- Nature Physics, Vol. 14, Issue 7
Interacting Fibonacci anyons in a Rydberg gas
journal, October 2012
- Lesanovsky, Igor; Katsura, Hosho
- Physical Review A, Vol. 86, Issue 4
Numerical study of two-body correlation in a 1D lattice with perfect blockade
journal, April 2008
- Sun, B.; Robicheaux, F.
- New Journal of Physics, Vol. 10, Issue 4
Quantum thermalization through entanglement in an isolated many-body system
journal, August 2016
- Kaufman, A. M.; Tai, M. E.; Lukin, A.
- Science, Vol. 353, Issue 6301
Quantum statistical mechanics in a closed system
journal, February 1991
- Deutsch, J. M.
- Physical Review A, Vol. 43, Issue 4
Chaos and quantum thermalization
journal, August 1994
- Srednicki, Mark
- Physical Review E, Vol. 50, Issue 2
Phenomenology of fully many-body-localized systems
journal, November 2014
- Huse, David A.; Nandkishore, Rahul; Oganesyan, Vadim
- Physical Review B, Vol. 90, Issue 17
Signatures of rare states and thermalization in a theory with confinement
journal, May 2019
- Robinson, Neil J.; James, Andrew J. A.; Konik, Robert M.
- Physical Review B, Vol. 99, Issue 19
A quantum Newton's cradle
journal, April 2006
- Kinoshita, Toshiya; Wenger, Trevor; Weiss, David S.
- Nature, Vol. 440, Issue 7086
Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
journal, July 2017
- Shiraishi, Naoto; Mori, Takashi
- Physical Review Letters, Vol. 119, Issue 3