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Quantum scars of bosons with correlated hopping

Journal Article · · Communications Physics
Abstract

Recent experiments on Rydberg atom arrays have found evidence of anomalously slow thermalization and persistent density oscillations, which have been interpreted as a many-body analog of the phenomenon of quantum scars. Periodic dynamics and atypical scarred eigenstates originate from a “hard” kinetic constraint: the neighboring Rydberg atoms cannot be simultaneously excited. Here we propose a realization of quantum many-body scars in a 1D bosonic lattice model with a “soft” constraint in the form of density-assisted hopping. We discuss the relation of this model to the standard Bose-Hubbard model and possible experimental realizations using ultracold atoms. We find that this model exhibits similar phenomenology to the Rydberg atom chain, including weakly entangled eigenstates at high energy densities and the presence of a large number of exact zero energy states, with distinct algebraic structure.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0016239
OSTI ID:
1631376
Alternate ID(s):
OSTI ID: 1802867
Journal Information:
Communications Physics, Journal Name: Communications Physics Journal Issue: 1 Vol. 3; ISSN 2399-3650
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (92)

Asymptotic Quantum Many-Body Localization from Thermal Disorder journal July 2014
Many-body localization in disorder-free systems: The importance of finite-size constraints journal November 2015
Observation of 'scarred' wavefunctions in a quantum well with chaotic electron dynamics journal April 1996
Collapse and revival of the matter wave field of a Bose–Einstein condensate journal September 2002
A quantum Newton's cradle journal April 2006
Observation of spatially ordered structures in a two-dimensional Rydberg gas journal October 2012
Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models journal June 2016
Probing many-body dynamics on a 51-atom quantum simulator journal November 2017
Many-body localization in a quantum simulator with programmable random disorder journal June 2016
Real-time confinement following a quantum quench to a non-integrable model journal November 2016
Weak ergodicity breaking from quantum many-body scars journal May 2018
Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter journal August 2019
Floquet approach to ℤ2 lattice gauge theories with ultracold atoms in optical lattices journal September 2019
Localization and Glassy Dynamics Of Many-Body Quantum Systems journal February 2012
Perspective: The glass transition journal March 2013
Ideal quantum glass transitions: Many-body localization without quenched disorder conference January 2014
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics journal May 2016
Non-standard Hubbard models in optical lattices: a review journal May 2015
Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems journal April 2016
Correlated hopping of bosonic atoms induced by optical lattices journal September 2009
Multi-orbital and density-induced tunneling of bosons in optical lattices journal March 2012
Entanglement entropy of excited states journal October 2009
Engineered nearest-neighbor interactions with doubly modulated optical lattices journal November 2019
Quantum statistical mechanics in a closed system journal February 1991
Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: From superfluidity to density waves journal January 2006
Exploring dynamic localization with a Bose-Einstein condensate journal January 2009
Quantum distillation: Dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice journal October 2009
Effective multibody-induced tunneling and interactions in the Bose-Hubbard model of the lowest dressed band of an optical lattice journal August 2012
Interacting Fibonacci anyons in a Rydberg gas journal October 2012
Quantum many-body scars from magnon condensation journal November 2019
Quantum many-body scar states with emergent kinetic constraints and finite-entanglement revivals journal January 2020
Absence of Fibonacci anyons in Rydberg chains journal February 2020
Quantum scars as embeddings of weakly broken Lie algebra representations journal April 2020
Localization from Hilbert space shattering: From theory to physical realizations journal May 2020
Quantum many-body scars in a Landau level on a thin torus journal November 2020
Localization of electronic wave functions due to local topology journal October 1986
Unusual properties of midband states in systems with off-diagonal disorder journal February 1994
Localization of interacting fermions at high temperature journal April 2007
Dynamics of many-body localization in a translation-invariant quantum glass model journal September 2015
The eigenstate thermalization hypothesis in constrained Hilbert spaces: A case study in non-Abelian anyon chains journal December 2016
Eigenstate thermalization hypothesis in quantum dimer models journal September 2017
Quantum disentangled liquid in the half-filled Hubbard model journal November 2017
Anyonic self-induced disorder in a stabilizer code: Quasi many-body localization in a translational invariant model journal February 2018
Slow dynamics in translation-invariant quantum lattice models journal March 2018
Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations journal October 2018
Exact excited states of nonintegrable models journal December 2018
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
Signatures of integrability in the dynamics of Rydberg-blockaded chains journal April 2019
Signatures of rare states and thermalization in a theory with confinement journal May 2019
Chaos and quantum thermalization journal August 1994
Collective States of Interacting Fibonacci Anyons journal July 2008
Expansion Dynamics of Interacting Bosons in Homogeneous Lattices in One and Two Dimensions journal May 2013
Observation of Density-Induced Tunneling journal November 2014
Localization from Superselection Rules in Translationally Invariant Systems journal January 2016
Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms journal May 2016
Quasi-Many-Body Localization in Translation-Invariant Systems journal December 2016
Disorder-Free Localization journal June 2017
Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis journal July 2017
Absence of Ergodicity without Quenched Disorder: From Quantum Disentangled Liquids to Many-Body Localization journal October 2017
Many-Body Localization Dynamics from Gauge Invariance journal January 2018
Critical Thermalization of a Disordered Dipolar Spin System in Diamond journal July 2018
Quantum Slow Relaxation and Metastability due to Dynamical Constraints journal July 2018
Periodic Orbits, Entanglement, and Quantum Many-Body Scars in Constrained Models: Matrix Product State Approach journal January 2019
Nonthermal States Arising from Confinement in One and Two Dimensions journal April 2019
Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain journal April 2019
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars journal June 2019
Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models journal July 2019
Exact Localized and Ballistic Eigenstates in Disordered Chaotic Spin Ladders and the Fermi-Hubbard Model journal July 2019
Dynamical Scar States in Driven Fracton Systems journal September 2019
Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 X Y Magnets journal October 2019
Quantum Many-Body Scars in Optical Lattices journal April 2020
Kinetic Ising Model of the Glass Transition journal September 1984
Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits journal October 1984
Models of Hierarchically Constrained Dynamics for Glassy Relaxation journal September 1984
Experimental observation of scarred eigenfunctions of chaotic microwave cavities journal August 1991
Conductance fluctuations and chaotic scattering in ballistic microstructures journal July 1992
Time Dependence of Correlation Functions Following a Quantum Quench journal April 2006
Interacting Anyons in Topological Quantum Liquids: The Golden Chain journal April 2007
Quench Dynamics and Nonequilibrium Phase Diagram of the Bose-Hubbard Model journal April 2007
Topological many-body scar states in dimensions one, two, and three journal December 2019
Lattice Gauge Theories and String Dynamics in Rydberg Atom Quantum Simulators journal May 2020
Quantum East Model: Localization, Nonthermal Eigenstates, and Slow Dynamics journal June 2020
Spin glasses: Experimental facts, theoretical concepts, and open questions journal October 1986
Theoretical perspective on the glass transition and amorphous materials journal June 2011
Colloquium: Atomic quantum gases in periodically driven optical lattices journal March 2017
Colloquium : Many-body localization, thermalization, and entanglement journal May 2019
Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux attachment to ℤ 2 lattice gauge theories journal October 2019
Observation of many-body localization of interacting fermions in a quasirandom optical lattice journal July 2015
Extended Bose-Hubbard models with ultracold magnetic atoms journal April 2016
Quantum thermalization through entanglement in an isolated many-body system journal August 2016
Entanglement of exact excited eigenstates of the Hubbard model in arbitrary dimension journal January 2017
Supporting data for Quantum scars of bosons with correlated hopping dataset January 2020

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