Quantum Avalanches in $\mathbb{Z}_2$-preserving Interacting Ising Majorana Chain

• URL: http://arxiv.org/abs/2501.06064v1
• Date: Fri, 10 Jan 2025 15:54:26 GMT
• Title: Quantum Avalanches in $\mathbb{Z}_2$-preserving Interacting Ising Majorana Chain
• Authors: Lv Zhang, Kai Xu, Heng Fan,
• Abstract summary: Recent numerical works have revealed the instability of many-body localized (MBL) phase in disordered quantum many-body systems. This instability arises from Griffith regions that occur at the limit, which rapidly thermalize and affect the surrounding typical MBL regions. We show that both MBL paramagnetic phase and MBL spin-glass phase are unstable at finite sizes.
• Score: 13.135604356093193
• License:
• Abstract: Recent numerical works have revealed the instability of many-body localized (MBL) phase in disordered quantum many-body systems with finite system sizes and over finite timescales. This instability arises from Griffith regions that occur at the thermodynamic limit, which rapidly thermalize and affect the surrounding typical MBL regions, introducing an avalanche mechanism into the system. Here, we consider the $\mathbb{Z}_2$-preserving interacting Ising Majorana chain model, which exhibits a more complex phase diagram, where an ergodic phase emerges between two MBL phases with different long-range order properties. We calculate the dynamic characteristics of the model when coupled to an infinite bath under perturbation, and through scaling behavior of the slowest thermalization rate, we find how critical disorder strengths in finite-size systems are affected by the avalanche mechanism. We also employe the embedded inclusion model and use the time evolution of mutual information between each spin and the artificial Griffith region to probe the diffusion of the thermal bubble. We observe that in finite-sized systems, the critical disorder strength gradually drifts away from the central. Our work demonstrate that both MBL paramagnetic phase and MBL spin-glass phase are unstable at finite sizes.

Related papers

• Chaos and spatial prethermalization in driven-dissipative bosonic chains [0.0]
  We investigate the spatial aspect of thermalization in quantum many-body systems. We uncover a two-stage thermalization process along the spatial dimension. We argue that similar prethermal chaotic phases are likely to occur in a broad range of extended driven-dissipative systems.
  arXiv  Detail & Related papers  (2024-09-18T18:00:00Z)
• Many-Body Localization in the Age of Classical Computing [0.0]
  This review focuses on recent numerical investigations aiming to clarify the status of the MBL phase. The drifts are related to tendencies towards thermalization and non-vanishing transport observed in the dynamics of many-body systems. Questions about thermalization and its failure in disordered many-body systems remain captivating area open for further explorations.
  arXiv  Detail & Related papers  (2024-03-11T19:00:06Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Many-body localization and delocalization dynamics in the thermodynamic limit [0.0]
  Numerical linked cluster expansions (NLCE) provide a means to tackle quantum systems directly in the thermodynamic limit. We demonstrate that NLCE provide a powerful tool to explore MBL by simulating quench dynamics in disordered spin-$1/2$ two-leg ladders and Fermi-Hubbard chains. Our work sheds light on MBL in systems beyond the well-studied disordered Heisenberg chain and emphasizes the usefulness of NLCE for this purpose.
  arXiv  Detail & Related papers  (2022-02-21T19:15:46Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Propagation of Many-body Localization in an Anderson Insulator [0.0]
  Many-body localization (MBL) is an example of a dynamical phase of matter that avoids thermalization. We consider the stability of an Anderson insulator with a finite density of particles interacting with a single mobile impurity.
  arXiv  Detail & Related papers  (2021-09-15T14:40:25Z)
• Observation of Stark many-body localization without disorder [0.0]
  Many-body localization (MBL) can result in preservation of a non-thermal state. We realize Stark MBL in a trapped-ion quantum simulator. Results demonstrate the unexpected generality of MBL.
  arXiv  Detail & Related papers  (2021-02-14T21:33:23Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.