Non-equilibirum physics of density-difference dependent Hamiltonian: Quantum Scarring from Emergent Chiral Symmetry

• URL: http://arxiv.org/abs/2503.05252v1
• Date: Fri, 07 Mar 2025 09:09:24 GMT
• Title: Non-equilibirum physics of density-difference dependent Hamiltonian: Quantum Scarring from Emergent Chiral Symmetry
• Authors: William N Faugno, Hosho Katsura, Tomoki Ozawa,
• Abstract summary: We show the existence of quantum many-body scars in the density-difference-dependent Hamiltonian.<n>We find two different classes of quantum scars; a charge density wave ordered scar and an edge-mode scar.<n>For each, we propose simple mechanisms that give rise to these scars which may be applicable to other systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum many-body scars represent a form of weak ergodicity breaking that highlights the unusual physics of thermalization in quantum systems. Understanding scar formation promises insight into the connection between classical statistical mechanics and the quantum world. The existence of quantum many-body scars calls into question how the macroscopic world can arise from the Schrodinger equation. In this work, we demonstrate the existence of quantum many-body scars in the density-difference-dependent Hamiltonian. This Hamiltonian has a particular manifestation of chiral symmetry due to its interaction being neither attractive nor repulsive a prior, but depending on the configuration. As a result of this symmetry and peculiar interaction, we find that this system hosts two different classes of quantum scars; a charge density wave ordered scar and an edge-mode scar. We establish the existence of these scars by examining the entanglement entropy of the system as well as demonstrating robust thermalization breaking time dynamics. For each, we propose simple mechanisms that give rise to these scars which may be applicable to other systems.

Related papers

• Lindblad many-body scars [0.0]
  We study many-body scars in many-body quantum chaotic systems coupled to a Markovian bath. Scars are defined as simultaneous eigenvectors of the Hamiltonian and dissipative parts of the vectorized Liouvillian. Scars have distinct features such as a strong dependence on the partition choice and, in certain cases, a large entanglement.
  arXiv  Detail & Related papers  (2025-03-09T15:30:36Z)
• Exploring the properties of quantum scars in a toy model [0.0]
  We introduce the concept of ergodicity and explore its deviation caused by quantum scars in an isolated quantum system.<n> Quantum scars, originally identified as traces of classically unstable orbits in certain wavefunctions of chaotic systems, have recently regained interest for their role in non-ergodic dynamics.
  arXiv  Detail & Related papers  (2024-11-05T16:31:08Z)
• Direct Visualization of Relativistic Quantum Scars [0.15937412565239586]
  Quantum scars refer to eigenstates with enhanced probability density along unstable classical periodic orbits (POs) First predicted 40 years ago, scars are special eigenstates that defy ergodicity in quantum systems whose classical counterpart is chaotic.
  arXiv  Detail & Related papers  (2024-09-16T19:18:48Z)
• Quantum many-body scars from unstable periodic orbits [30.38539960317671]
  Unstable periodic orbits play a key role in the theory of chaos. We find the first quantum many-body scars originating from UPOs of a chaotic phase space.
  arXiv  Detail & Related papers  (2024-01-12T19:00:02Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Schr\"odinger cat states of a 16-microgram mechanical oscillator [54.35850218188371]
  The superposition principle is one of the most fundamental principles of quantum mechanics. Here we demonstrate the preparation of a mechanical resonator with an effective mass of 16.2 micrograms in Schr"odinger cat states of motion. We show control over the size and phase of the superposition and investigate the decoherence dynamics of these states.
  arXiv  Detail & Related papers  (2022-11-01T13:29:44Z)
• Extensive multipartite entanglement from su(2) quantum many-body scars [0.0]
  We numerically study signatures of multipartite entanglement in the PXP model of Rydberg atoms. Our results identify a rich multipartite correlation structure of scarred states with significant potential as a resource in quantum enhanced metrology.
  arXiv  Detail & Related papers  (2021-09-20T17:56:04Z)
• Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
  We propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
  arXiv  Detail & Related papers  (2021-04-13T17:24:08Z)
• Taking the temperature of a pure quantum state [55.41644538483948]
  Temperature is a deceptively simple concept that still raises deep questions at the forefront of quantum physics research. We propose a scheme to measure the temperature of such pure states through quantum interference.
  arXiv  Detail & Related papers  (2021-03-30T18:18:37Z)
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays [41.74498230885008]
  We experimentally investigate non-equilibrium dynamics following rapid quenches in a many-body system composed of 3 to 200 strongly interacting qubits in one and two spatial dimensions. We discover that scar revivals can be stabilized by periodic driving, which generates a robust subharmonic response akin to discrete time-crystalline order.
  arXiv  Detail & Related papers  (2020-12-22T19:00:02Z)
• Exact many-body scars and their stability in constrained quantum chains [55.41644538483948]
  Quantum scars are non-thermal eigenstates characterized by low entanglement entropy. We study the response of these exact quantum scars to perturbations by analysing the scaling of the fidelity susceptibility with system size.
  arXiv  Detail & Related papers  (2020-11-16T19:05:50Z)
• Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
  We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
  arXiv  Detail & Related papers  (2020-03-04T14:01:17Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.