Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes

• URL: http://arxiv.org/abs/2102.02235v3
• Date: Thu, 13 May 2021 14:39:30 GMT
• Title: Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes
• Authors: R. J. Lewis-Swan, S. R. Muleady, D. Barberena, J. J. Bollinger and A. M. Rey
• Abstract summary: We study the dynamical phase diagram of the Dicke model in both classical and quantum limits. Our numerical calculations demonstrate that mean-field features of the dynamics remain valid in the exact quantum dynamics. Our predictions can be verified in current quantum simulators of the Dicke model including arrays of trapped ions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We theoretically study the dynamical phase diagram of the Dicke model in both classical and quantum limits using large, experimentally relevant system sizes. Our analysis elucidates that the model features dynamical critical points that are distinct from previously investigated excited-state equilibrium transitions. Moreover, our numerical calculations demonstrate that mean-field features of the dynamics remain valid in the exact quantum dynamics, but we also find that in regimes where quantum effects dominate signatures of the dynamical phases and chaos can persist in purely quantum metrics such as entanglement and correlations. Our predictions can be verified in current quantum simulators of the Dicke model including arrays of trapped ions.

Related papers

• Quantum Quench Dynamics of Geometrically Frustrated Ising Models [0.20971479389679332]
  We study the triangular antiferromagnet and Villain model in a transverse field. Our results demonstrate the ability of quantum annealers to simulate coherent quantum dynamics.
  arXiv  Detail & Related papers  (2024-02-29T19:39:14Z)
• Linear-scale simulations of quench dynamics [2.7615495205203318]
  We develop a linear-scale computational simulation technique for the non-equilibrium dynamics of quantum quench systems. An expansion-based method allows us to efficiently compute the Loschmidt echo for infinitely large systems. We observe wave vector-independent dynamical phase transitions in self-dual localization models.
  arXiv  Detail & Related papers  (2023-11-16T04:18:32Z)
• 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)
• 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 computation of dynamical quantum phase transitions and entanglement tomography in a lattice gauge theory [0.0]
  Strongly-coupled gauge theories far from equilibrium may exhibit unique features that could illuminate the physics of the early universe. We compute non-equal time correlation functions and perform entanglement tomography of non-equilibrium states of a simple lattice gauge theory. Results constitute the first observation of a dynamical quantum phase transition in a lattice gauge theory on a quantum computer.
  arXiv  Detail & Related papers  (2022-10-06T17:47:33Z)
• 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)
• Monitored Quantum Dynamics and the Kitaev Spin Liquid [0.0]
  Quantum circuit dynamics with local projective measurements can realize a rich spectrum of entangled states of quantum matter. Motivated by the physics of the Kitaev quantum spin liquid, we study quantum circuit dynamics in (2+1)-dimensions involving local projective measurements.
  arXiv  Detail & Related papers  (2022-07-06T18:00:07Z)
• Exact dynamics in dual-unitary quantum circuits with projective measurements [0.0]
  We introduce a class of models combining dual-unitary circuits with particular projective measurements. We identify a symmetry preventing a measurement-induced phase transition and present exact results.
  arXiv  Detail & Related papers  (2022-06-30T18:00:04Z)
• 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)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)

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.