Chaos and Thermalization in the Spin-Boson Dicke Model

• URL: http://arxiv.org/abs/2211.08434v2
• Date: Fri, 13 Jan 2023 00:57:57 GMT
• Title: Chaos and Thermalization in the Spin-Boson Dicke Model
• Authors: David Villase\~nor, Sa\'ul Pilatowsky-Cameo, Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hern\'andez, Lea F. Santos, Jorge G. Hirsch
• Abstract summary: We study the connection between chaos and the onset of thermalization in the spin-boson Dicke model. Our results make evident the advantages of the so-called "efficient basis" over the widespread employed Fock basis.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a detailed analysis of the connection between chaos and the onset of thermalization in the spin-boson Dicke model. This system has a well-defined classical limit with two degrees of freedom, and it presents both regular and chaotic regions. Our studies of the eigenstate expectation values and the distributions of the off-diagonal elements of the number of photons and the number of excited atoms validate the diagonal and off-diagonal eigenstate thermalization hypothesis (ETH) in the chaotic region, thus ensuring thermalization. The validity of the ETH reflects the chaotic structure of the eigenstates, which we corroborate using the von Neumann entanglement entropy and the Shannon entropy. Our results for the Shannon entropy also make evident the advantages of the so-called "efficient basis" over the widespread employed Fock basis when investigating the unbounded spectrum of the Dicke model. The efficient basis gives us access to a larger number of converged states than what can be reached with the Fock basis.

Related papers

• Thermalization in Trapped Bosonic Systems With Disorder [3.1457219084519004]
  We study experimentally accessible states in a system of bosonic atoms trapped in an open linear chain with disorder. We find that, within certain tolerances, most states in the chaotic region thermalize. However, states with low participation ratios in the energy eigenstate basis show greater deviations from thermal equilibrium values.
  arXiv  Detail & Related papers  (2024-07-05T19:00:02Z)
• Finite-temperature properties of string-net models [0.0]
  We compute the partition function of the string-net model and investigate several thermodynamical quantities. In the thermodynamic limit, we show that the partition function is dominated by the contribution of special particles, dubbed pure fluxons. We also analyze the behavior of Wegner-Wilson loops associated to excitations and show that they obey an area law.
  arXiv  Detail & Related papers  (2024-06-28T07:51:58Z)
• Confinement in the Transverse Field Ising model on the Heavy Hex lattice [0.0]
  We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. We show how a quench from a broken symmetry state leads to striking nonthermal behaviour underpinned by persistent oscillations and saturation of the entanglement entropy.
  arXiv  Detail & Related papers  (2024-02-02T16:50:20Z)
• Information compression at the turbulent-phase transition in cold atom gases [0.0]
  We study the transition of a cold atomic cloud, driven close to a sharp electronic resonance, from a stable to a turbulent phase. From the atomic density distribution, we have computed the Shannon entropy on two different basis sets. Information compression, corresponding to a minimum in the Shannon entropy, has been observed at criticality.
  arXiv  Detail & Related papers  (2022-11-02T21:12:43Z)
• 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)
• 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)
• Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results [68.8204255655161]
  We show that the proper inclusion of the odd parity subspace leads to the enhancement of maximal fidelity susceptibility in the intermediate range of temperatures. The correct low-temperature behavior is captured by an approximation involving the two lowest many-body energy eigenstates.
  arXiv  Detail & Related papers  (2021-05-11T14:08:02Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• 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)
• Eigenstate entanglement scaling for critical interacting spin chains [0.0]
  Bipartite entanglement entropies of energy eigenstates cross over from the groundstate scaling to a volume law. We analyze XXZ and transverse-field Ising models with and without next-nearest-neighbor interactions.
  arXiv  Detail & Related papers  (2020-10-14T17:44:54Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

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.