SciPost Physics

SciPost Phys. 10, 099 (2021) · published 3 May 2021

• doi: 10.21468/SciPostPhys.10.5.099
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

We study the (dual) folded spin-1/2 XXZ model in the thermodynamic limit. We focus, in particular, on a class of local macrostates that includes Gibbs ensembles. We develop a thermodynamic Bethe Ansatz description and work out generalised hydrodynamics at the leading order. Remarkably, in the ballistic scaling limit the junction of two local macrostates results in a discontinuity in the profile of essentially any local observable.

• De Nardis et al., Subdiffusive hydrodynamics of nearly integrable anisotropic spin chains
  Proc. Natl. Acad. Sci. U.S.A. 119, e2202823119 (2022) [Crossref]
• Bocini et al., Growing Schrödinger's cat states by local unitary time evolution of product states
  Phys. Rev. Research 6, 033108 (2024) [Crossref]
• Moudgalya et al., Quantum many-body scars and Hilbert space fragmentation: a review of exact results
  Rep. Prog. Phys. 85, 086501 (2022) [Crossref]
• Jones et al., Integrable spin chains and the Clifford group
  63, 101901 (2022) [Crossref]
• Bibikov, Thermodynamics of an Ising-like XXZ chain in a longitudinal magnetic field in the framework of the quantum transfer matrix approach
  J. Stat. Mech. 2022, 023101 (2022) [Crossref]
• Borsi et al., Matrix Product Symmetries and Breakdown of Thermalization from Hard Rod Deformations
  Phys. Rev. Lett. 131, 037101 (2023) [Crossref]
• Gotta et al., Two-fluid coexistence and phase separation in a one-dimensional model with pair hopping and density interactions
  Phys. Rev. B 104, 094521 (2021) [Crossref]
• Zadnik et al., Slow heterogeneous relaxation due to constraints in dual XXZ models
  Phys. Rev. B 108, L100304 (2023) [Crossref]
• Bertini et al., Exact Quench Dynamics of the Floquet Quantum East Model at the Deterministic Point
  Phys. Rev. Lett. 132, 120402 (2024) [Crossref]
• Bidzhiev et al., Macroscopic Effects of Localized Measurements in Jammed States of Quantum Spin Chains
  Phys. Rev. Lett. 128, 130603 (2022) [Crossref]
• Pozsgay et al., Sublattice entanglement in an exactly solvable anyonlike spin ladder
  Phys. Rev. E 106, 044120 (2022) [Crossref]
• Buča et al., Rule 54: exactly solvable model of nonequilibrium statistical mechanics
  J. Stat. Mech. 2021, 074001 (2021) [Crossref]
• Gopalakrishnan et al., Superdiffusion from Nonabelian Symmetries in Nearly Integrable Systems
  Annu. Rev. Condens. Matter Phys. 15, 159 (2024) [Crossref]
• Tartaglia et al., Real-time evolution in the Hubbard model with infinite repulsion
  SciPost Phys. 12, 028 (2022) [Crossref]
• Prosen, Many-body quantum chaos and dual-unitarity round-a-face
  31, 093101 (2021) [Crossref]
• Krajnik et al., Universal anomalous fluctuations in charged single-file systems
  Phys. Rev. Research 6, 013260 (2024) [Crossref]
• Klobas et al., Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
  SciPost Phys. 11, 107 (2021) [Crossref]
• Jiang et al., Irrelevant deformations with boundaries and defects
  J. Stat. Mech. 2022, 043102 (2022) [Crossref]
• Das et al., Fractionalized holes in one-dimensional Z2 gauge theory coupled to fermion matter: Deconfined dynamics and emergent integrability
  Phys. Rev. B 107, 064302 (2023) [Crossref]
• Alba et al., Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects
  J. Stat. Mech. 2021, 114004 (2021) [Crossref]
• Kos et al., Thermalization dynamics and spectral statistics of extended systems with thermalizing boundaries
  Phys. Rev. B 104, 214303 (2021) [Crossref]
• Buča, Unified Theory of Local Quantum Many-Body Dynamics: Eigenoperator Thermalization Theorems
  Phys. Rev. X 13, 031013 (2023) [Crossref]
• Gunawardana et al., Dynamical l-bits and persistent oscillations in Stark many-body localization
  Phys. Rev. B 106, L161111 (2022) [Crossref]
• Zadnik et al., Measurement catastrophe and ballistic spread of charge density with vanishing current
  J. Phys. A: Math. Theor. 55, 474001 (2022) [Crossref]
• Gopalakrishnan et al., Anomalous transport from hot quasiparticles in interacting spin chains
  Rep. Prog. Phys. 86, 036502 (2023) [Crossref]
• Causer et al., Scalable simulation of nonequilibrium quantum dynamics via classically optimized unitary circuits
  Phys. Rev. Research 6, 033062 (2024) [Crossref]
• Feldmeier et al., Emergent tracer dynamics in constrained quantum systems
  Phys. Rev. B 106, 094303 (2022) [Crossref]
• Pozsgay et al., Integrable hard-rod deformation of the Heisenberg spin chains
  Phys. Rev. E 104, 064124 (2021) [Crossref]
• Brighi et al., Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models
  SciPost Phys. 15, 093 (2023) [Crossref]
• Gombor et al., Integrable spin chains and cellular automata with medium-range interaction
  Phys. Rev. E 104, 054123 (2021) [Crossref]
• Pozsgay et al., Integrable spin chain with Hilbert space fragmentation and solvable real-time dynamics
  Phys. Rev. E 104, 044106 (2021) [Crossref]
• Su et al., Integrable nonunitary quantum circuits
  Phys. Rev. B 106, 134312 (2022) [Crossref]
• Klobas et al., Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
  SciPost Phys. 11, 106 (2021) [Crossref]
• Pozsgay, A Yang–Baxter integrable cellular automaton with a four site update rule
  J. Phys. A: Math. Theor. 54, 384001 (2021) [Crossref]
• Krajnik, Single-file dynamics with general charge measures
  Phys. Rev. E 110, 024118 (2024) [Crossref]
• Singh et al., Tunable Superdiffusion in Integrable Spin Chains Using Correlated Initial States
  Phys. Rev. Lett. 132, 176303 (2024) [Crossref]
• Rylands et al., Transport and Entanglement across Integrable Impurities from Generalized Hydrodynamics
  Phys. Rev. Lett. 131, 156303 (2023) [Crossref]
• Bastianello et al., Fragmentation and Emergent Integrable Transport in the Weakly Tilted Ising Chain
  Phys. Rev. Lett. 128, 196601 (2022) [Crossref]