Directly Revealing Entanglement Dynamics through Quantum Correlation Transfer Functions with Resultant Demonstration of the Mechanism of Many-Body Localization

• URL: http://arxiv.org/abs/2201.11223v1
• Date: Wed, 26 Jan 2022 22:50:04 GMT
• Title: Directly Revealing Entanglement Dynamics through Quantum Correlation Transfer Functions with Resultant Demonstration of the Mechanism of Many-Body Localization
• Authors: Peyman Azodi, Herschel A.Rabitz
• Abstract summary: This paper introduces the Quantum Correlation Transfer Function (QCTF) approach to entanglement dynamics in many-body quantum systems. We show that QCTF can be fully characterized directly from the system's Hamiltonian, which circumvents the bottleneck of calculating the many-body system's time-evolution. We also show that QCTF provides a new foundation to study the Eigenstate Thermalization Hypothesis (ETH)
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The fundamental link between entanglement dynamics and non-equilibrium statistics in isolated quantum systems has been established in theory and confirmed via experiment. However, the understanding of several consequential phenomena, such as the Many-Body Localization (MBL), has been obstructed by the lack of a systematic approach to obtain many-body entanglement dynamics. This paper introduces the Quantum Correlation Transfer Function (QCTF) approach to entanglement dynamics in many-body quantum systems and employs this new framework to demonstrate the mechanism of MBL in disordered spin chains. We show that in the QCTF framework, the entanglement dynamics of two-level constituent particles of a many-body quantum system can be fully characterized directly from the system's Hamiltonian, which circumvents the bottleneck of calculating the many-body system's time-evolution. By employing the QCTF-based approach to entanglement dynamics, we demonstrate MBL dynamics in disordered Heisenberg spin chains through the suppressed quasi-periodic spin's entanglement evolution after a quench from an anti-ferromagnetic state. Furthermore, we prove the validity of a previous fundamental conjecture regarding the MBL phase by showing that in strongly-disordered spin chains with short-range interactions, the quantum correlation between particles is exponentially attenuated with respect to the site-to-site distance. Moreover, we obtain the lowest possible amplitude of the quasi-periodic spin's entanglement as a function of disorder in the chain. The QCTF analysis is verified by exact numerical simulation of the system's evolution. We also show that QCTF provides a new foundation to study the Eigenstate Thermalization Hypothesis (ETH). The QCTF methodology can be extended in various ways to address general issues regarding non-equilibrium quantum thermodynamics in spin lattices with different geometries.

Related papers

• Digital simulation of zero-temperature spontaneous symmetry breaking in a superconducting lattice processor [3.9533784716978406]
  We report an experimental simulation of antiferromagnetic (AFM) and ferromagnetic (FM) phase formation in a superconducting lattice. We observe the emergence of signatures of SSB-induced phase transition through a connected correlation function. Our results open perspectives for new advances in condensed matter physics.
  arXiv  Detail & Related papers  (2024-09-26T08:15:18Z)
• Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
  macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations. We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders. Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
  arXiv  Detail & Related papers  (2023-06-20T11:26:30Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
  Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems. We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices. This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
  arXiv  Detail & Related papers  (2023-06-01T16:49:20Z)
• 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)
• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories [0.0]
  We show a new method to treat open quantum-spin lattices, based on the solution of the open-system dynamics. We validate this approach in the paradigmatic case of the phase transitions of the dissipative 2D XYZ lattice, subject to spontaneous decay.
  arXiv  Detail & Related papers  (2022-09-27T13:23:38Z)
• 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)
• Influence functional of many-body systems: temporal entanglement and matrix-product state representation [0.0]
  Feynman-Vernon influence functional (IF) was originally introduced to describe the effect of a quantum environment on the dynamics of an open quantum system. We apply the IF approach to describe quantum many-body dynamics in isolated spin systems.
  arXiv  Detail & Related papers  (2021-03-25T10:41:15Z)
• Determination of dynamical quantum phase transitions in strongly correlated many-body systems using Loschmidt cumulants [0.0]
  We use Loschmidt cumulants to determine the critical times of interacting quantum systems after a quench. Our work demonstrates that Loschmidt cumulants are a powerful tool to unravel the far-from-equilibrium dynamics of strongly correlated many-body systems.
  arXiv  Detail & Related papers  (2020-11-27T09:03:47Z)
• Dynamical replica analysis of quantum annealing [0.0]
  An interesting alternative approach to the dynamics of quantum spin systems was proposed about a decade ago. It involves creating a proxy dynamics via the Suzuki-Trotter mapping of the quantum ensemble to a classical one. In this chapter we give an introduction to this approach, focusing on the ideas and assumptions behind the derivations.
  arXiv  Detail & Related papers  (2020-10-23T12:17:38Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)

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.