Discrete Time-Crystalline Order Enabled by Quantum Many-Body Scars: Entanglement Steering via Periodic Driving
Abstract
The control of many-body quantum dynamics in complex systems is a key challenge in the quest to reliably produce and manipulate large-scale quantum entangled states. Recently, quench experiments in Rydberg atom arrays [Bluvstein et al. Science 371, 1355 (2021)] demonstrated that coherent revivals associated with quantum many-body scars can be stabilized by periodic driving, generating stable subharmonic responses over a wide parameter regime. We analyze a simple, related model where these phenomena originate from spatiotemporal ordering in an effective Floquet unitary, corresponding to discrete time-crystalline behavior in a prethermal regime. Unlike conventional discrete time crystals, the subharmonic response exists only for Néel-like initial states, associated with quantum scars. We predict robustness to perturbations and identify emergent timescales that could be observed in future experiments. Our results suggest a route to controlling entanglement in interacting quantum systems by combining periodic driving with many-body scars.
- Authors:
-
[1];
[2];
[3];
[4];
[2]
- Harvard Univ., Cambridge, MA (United States)
- Inst. of Science and Technology (IST) Austria, Klosterneuburg (Austria)
- Harvard Univ., Cambridge, MA (United States); Stanford Univ., CA (United States)
- Univ. of California, Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
- Publication Date:
- Research Org.:
- Harvard Univ., Cambridge, MA (United States); Krell Institute, Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); European Research Council (ERC); National University of Singapore (NUS); National Science Foundation (NSF)
- OSTI Identifier:
- 1853702
- Grant/Contract Number:
- SC0021013; SC0021110; AY2019/2020; DGE-1745303; 850899
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 127; Journal Issue: 9; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics; Eigenstate thermalization; Entanglement in quantum gases; Quantum quench; Quantum scars; Quantum simulation; Spontaneous symmetry breaking; Floquet systems
Citation Formats
Maskara, N., Michailidis, A. A., Ho, W. W., Bluvstein, D., Choi, S., Lukin, M. D., and Serbyn, M. Discrete Time-Crystalline Order Enabled by Quantum Many-Body Scars: Entanglement Steering via Periodic Driving. United States: N. p., 2021.
Web. doi:10.1103/physrevlett.127.090602.
Maskara, N., Michailidis, A. A., Ho, W. W., Bluvstein, D., Choi, S., Lukin, M. D., & Serbyn, M. Discrete Time-Crystalline Order Enabled by Quantum Many-Body Scars: Entanglement Steering via Periodic Driving. United States. https://doi.org/10.1103/physrevlett.127.090602
Maskara, N., Michailidis, A. A., Ho, W. W., Bluvstein, D., Choi, S., Lukin, M. D., and Serbyn, M. Fri .
"Discrete Time-Crystalline Order Enabled by Quantum Many-Body Scars: Entanglement Steering via Periodic Driving". United States. https://doi.org/10.1103/physrevlett.127.090602. https://www.osti.gov/servlets/purl/1853702.
@article{osti_1853702,
title = {Discrete Time-Crystalline Order Enabled by Quantum Many-Body Scars: Entanglement Steering via Periodic Driving},
author = {Maskara, N. and Michailidis, A. A. and Ho, W. W. and Bluvstein, D. and Choi, S. and Lukin, M. D. and Serbyn, M.},
abstractNote = {The control of many-body quantum dynamics in complex systems is a key challenge in the quest to reliably produce and manipulate large-scale quantum entangled states. Recently, quench experiments in Rydberg atom arrays [Bluvstein et al. Science 371, 1355 (2021)] demonstrated that coherent revivals associated with quantum many-body scars can be stabilized by periodic driving, generating stable subharmonic responses over a wide parameter regime. We analyze a simple, related model where these phenomena originate from spatiotemporal ordering in an effective Floquet unitary, corresponding to discrete time-crystalline behavior in a prethermal regime. Unlike conventional discrete time crystals, the subharmonic response exists only for Néel-like initial states, associated with quantum scars. We predict robustness to perturbations and identify emergent timescales that could be observed in future experiments. Our results suggest a route to controlling entanglement in interacting quantum systems by combining periodic driving with many-body scars.},
doi = {10.1103/physrevlett.127.090602},
journal = {Physical Review Letters},
number = 9,
volume = 127,
place = {United States},
year = {Fri Aug 27 00:00:00 EDT 2021},
month = {Fri Aug 27 00:00:00 EDT 2021}
}
Free Publicly Available Full Text
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:
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
Prethermal quantum many-body Kapitza phases of periodically driven spin systems
journal, September 2019
- Lerose, Alessio; Marino, Jamir; Gambassi, Andrea
- Physical Review B, Vol. 100, Issue 10
Critical Time Crystals in Dipolar Systems
journal, July 2017
- Ho, Wen Wei; Choi, Soonwon; Lukin, Mikhail D.
- Physical Review Letters, Vol. 119, Issue 1
Long-Lived Interacting Phases of Matter Protected by Multiple Time-Translation Symmetries in Quasiperiodically Driven Systems
journal, May 2020
- Else, Dominic V.; Ho, Wen Wei; Dumitrescu, Philipp T.
- Physical Review X, Vol. 10, Issue 2
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
Collapse and revival of quantum many-body scars via Floquet engineering
journal, June 2020
- Mukherjee, Bhaskar; Nandy, Sourav; Sen, Arnab
- Physical Review B, Vol. 101, Issue 24
Quantum many-body scars in a Landau level on a thin torus
journal, November 2020
- Moudgalya, Sanjay; Bernevig, B. Andrei; Regnault, Nicolas
- Physical Review B, Vol. 102, Issue 19
Observation of discrete time-crystalline order in a disordered dipolar many-body system
journal, March 2017
- Choi, Soonwon; Choi, Joonhee; Landig, Renate
- Nature, Vol. 543, Issue 7644
Floquet Time Crystals
journal, August 2016
- Else, Dominic V.; Bauer, Bela; Nayak, Chetan
- Physical Review Letters, Vol. 117, Issue 9
Quantum simulation
journal, March 2014
- Georgescu, I. M.; Ashhab, S.; Nori, Franco
- Reviews of Modern Physics, Vol. 86, Issue 1
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
Slow thermalization of exact quantum many-body scar states under perturbations
journal, July 2020
- Lin, Cheng-Ju; Chandran, Anushya; Motrunich, Olexei I.
- Physical Review Research, Vol. 2, Issue 3
Exact Floquet quantum many-body scars under Rydberg blockade
journal, August 2020
- Mizuta, Kaoru; Takasan, Kazuaki; Kawakami, Norio
- Physical Review Research, Vol. 2, Issue 3
Quantum many-body scars from virtual entangled pairs
journal, May 2020
- Chattopadhyay, Sambuddha; Pichler, Hannes; Lukin, Mikhail D.
- Physical Review B, Vol. 101, Issue 17
Exact excited states of nonintegrable models
journal, December 2018
- Moudgalya, Sanjay; Rachel, Stephan; Bernevig, B. Andrei
- Physical Review B, Vol. 98, Issue 23
Quantum Time Crystals from Hamiltonians with Long-Range Interactions
journal, November 2019
- Kozin, Valerii K.; Kyriienko, Oleksandr
- Physical Review Letters, Vol. 123, Issue 21
Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models
journal, July 2019
- Bull, Kieran; Martin, Ivar; Papić, Z.
- Physical Review Letters, Vol. 123, Issue 3
Many-body physics with individually controlled Rydberg atoms
journal, January 2020
- Browaeys, Antoine; Lahaye, Thierry
- Nature Physics, Vol. 16, Issue 2
Probing many-body dynamics on a 51-atom quantum simulator
journal, November 2017
- Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander
- Nature, Vol. 551, Issue 7682
Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
journal, March 2018
- Huang, Biao; Wu, Ying-Hai; Liu, W. Vincent
- Physical Review Letters, Vol. 120, Issue 11
Discrete Time Crystals: Rigidity, Criticality, and Realizations
journal, January 2017
- Yao, N. Y.; Potter, A. C.; Potirniche, I. -D.
- Physical Review Letters, Vol. 118, Issue 3
Colloquium : Many-body localization, thermalization, and entanglement
journal, May 2019
- Abanin, Dmitry A.; Altman, Ehud; Bloch, Immanuel
- Reviews of Modern Physics, Vol. 91, Issue 2
QuTiP 2: A Python framework for the dynamics of open quantum systems
journal, April 2013
- Johansson, J. R.; Nation, P. D.; Nori, Franco
- Computer Physics Communications, Vol. 184, Issue 4
Higher-order and fractional discrete time crystals in clean long-range interacting systems
journal, April 2021
- Pizzi, Andrea; Knolle, Johannes; Nunnenkamp, Andreas
- Nature Communications, Vol. 12, Issue 1
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
Quantum metrology with nonclassical states of atomic ensembles
journal, September 2018
- Pezzè, Luca; Smerzi, Augusto; Oberthaler, Markus K.
- Reviews of Modern Physics, Vol. 90, Issue 3
Slow Quantum Thermalization and Many-Body Revivals from Mixed Phase Space
journal, March 2020
- Michailidis, A. A.; Turner, C. J.; Papić, Z.
- Physical Review X, Vol. 10, Issue 1
Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
journal, August 2019
- Omran, A.; Levine, H.; Keesling, A.
- Science, Vol. 365, Issue 6453
Homogeneous Floquet time crystal from weak ergodicity breaking
journal, December 2020
- Yarloo, H.; Emami Kopaei, A.; Langari, A.
- Physical Review B, Vol. 102, Issue 22
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
journal, June 2017
- Abanin, Dmitry; De Roeck, Wojciech; Ho, Wen Wei
- Communications in Mathematical Physics, Vol. 354, Issue 3
Absolute stability and spatiotemporal long-range order in Floquet systems
journal, August 2016
- von Keyserlingk, C. W.; Khemani, Vedika; Sondhi, S. L.
- Physical Review B, Vol. 94, Issue 8
Phase Structure of Driven Quantum Systems
journal, June 2016
- Khemani, Vedika; Lazarides, Achilleas; Moessner, Roderich
- Physical Review Letters, Vol. 116, Issue 25
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
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
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015
- Nandkishore, Rahul; Huse, David A.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Controlling quantum many-body dynamics in driven Rydberg atom arrays
journal, March 2021
- Bluvstein, D.; Omran, A.; Levine, H.
- Science, Vol. 371, Issue 6536
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
Floquet time crystal in the Lipkin-Meshkov-Glick model
journal, June 2017
- Russomanno, Angelo; Iemini, Fernando; Dalmonte, Marcello
- Physical Review B, Vol. 95, Issue 21
Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
journal, July 2017
- Shiraishi, Naoto; Mori, Takashi
- Physical Review Letters, Vol. 119, Issue 3
Observation of discrete time-crystalline order in a disordered dipolar many-body system
journal, March 2017
- Choi, Soonwon; Choi, Joonhee; Landig, Renate
- Nature, Vol. 543, Issue 7644
Many-body physics with individually controlled Rydberg atoms
journal, January 2020
- Browaeys, Antoine; Lahaye, Thierry
- Nature Physics, Vol. 16, Issue 2
Time crystallinity and finite-size effects in clean Floquet systems
journal, December 2020
- Pizzi, Andrea; Malz, Daniel; De Tomasi, Giuseppe
- Physical Review B, Vol. 102, Issue 21
Competing density-wave orders in a one-dimensional hard-boson model
journal, February 2004
- Fendley, Paul; Sengupta, K.; Sachdev, Subir
- Physical Review B, Vol. 69, Issue 7
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
Stabilizing two-dimensional quantum scars by deformation and synchronization
journal, June 2020
- Michailidis, A. A.; Turner, C. J.; Papić, Z.
- Physical Review Research, Vol. 2, Issue 2
Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
journal, August 2019
- Omran, A.; Levine, H.; Keesling, A.
- Science, Vol. 365, Issue 6453
Slow quantum thermalization and many-body revivals from mixed phase space
text, January 2019
- Michailidis, A. A.; Turner, C. J.; Papić, Z.
- arXiv