Subtle Nuances between Quantum and Classical regimes

• URL: http://arxiv.org/abs/2411.07373v1
• Date: Mon, 11 Nov 2024 21:22:19 GMT
• Title: Subtle Nuances between Quantum and Classical regimes
• Authors: Karin Wittmann Wilsmann, Erick R. Castro, Itzhak Roditi, Angela Foerster, Jorge G. Hirsch,
• Abstract summary: This study explores the semiclassical limit of an integrable-chaotic bosonic many-body quantum system. We examine classical-quantum correspondences across different interaction regimes of bosons in a triple-well potential.
• Score: 0.0
• License:
• Abstract: This study explores the semiclassical limit of an integrable-chaotic bosonic many-body quantum system, providing nuanced insights into its behavior. We examine classical-quantum correspondences across different interaction regimes of bosons in a triple-well potential, ranging from the integrable to the self-trapping regime, and including the chaotic one. The close resemblance between the phase-space mean projections of classical trajectories and those of Husimi distributions evokes the Principle of Uniform Semiclassical Condensation (PUSC) of Wigner functions of eigenstates. Notably, the resulting figures also exhibit patterns reminiscent of Jason Gallas's "shrimp" shapes.

Related papers

• Addendum to "Power-law decay of the fraction of the mixed eigenstates in kicked top model with mixed-type classical phase space" [10.41211018892661]
  We show that the accessible system size for studying the Husimi functions of eigenstates can be much larger than that reported in the literature. In the fully chaotic kicked top, we find that the mean Wehrl entropy localization measure approaches the prediction given by the Circular Unitary Ensemble.
  arXiv  Detail & Related papers  (2024-04-24T13:41:13Z)
• Signatures of quantum phases in a dissipative system [13.23575512928342]
  Lindbladian formalism has been all-pervasive to interpret non-equilibrium steady states of quantum many-body systems. We study the fate of free fermionic and superconducting phases in a dissipative one-dimensional Kitaev model.
  arXiv  Detail & Related papers  (2023-12-28T17:53:26Z)
• From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model [0.0]
  We investigate the semiclassical limit of a bosonic quantum many-body system exhibiting both integrable and chaotic behavior. The transition from regularity to chaos in classical dynamics is visualized through Poincar'e sections. The study systematically establishes quantum-classical correspondence for a bosonic many-body system with more than two wells.
  arXiv  Detail & Related papers  (2023-11-22T06:31:00Z)
• Mixed eigenstates in the Dicke model: Statistics and power-law decay of the relative proportion in the semiclassical limit [8.437514200532176]
  We show how mixed eigenstates vary with approaching the semiclassical limit in mixed-type many-body quantum systems. Using the Husimi function, we show that the eigenstates of the Dicke model with mixed-type classical phase space can be classified into different types.
  arXiv  Detail & Related papers  (2023-09-21T02:31:21Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• Interacting bosons in a triple well: Preface of many-body quantum chaos [0.0]
  We investigate the onset of quantum chaos in a triple-well model that moves away from integrability as its potential gets tilted. Even in its deepest chaotic regime, the system presents features reminiscent of integrability.
  arXiv  Detail & Related papers  (2021-11-26T19:00:03Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Quantum entanglement from classical trajectories [0.0]
  A long-standing challenge in mixed quantum-classical trajectory simulations is the treatment of entanglement between the classical and quantal degrees of freedom. We present a novel approach which describes the emergence of entangled states entirely in terms of independent and deterministic Ehrenfest-like classical trajectories.
  arXiv  Detail & Related papers  (2021-05-05T14:19:54Z)
• Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation [0.0]
  We study the quantum dissipative Duffing oscillator across a range of system sizes and environmental couplings. We quantify the system sizes where quantum dynamics cannot be simulated using semiclassical or noise-added classical approximations. Our findings generalize the previous surprising result that classically regular orbits can have the greatest quantum-classical differences in the semiclassical regime.
  arXiv  Detail & Related papers  (2020-10-30T22:03:02Z)
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain [21.24186888129542]
  We study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. Special emphasis is devoted to the simplest types of solutions, describing precessional motion and elliptic magnetisation waves.
  arXiv  Detail & Related papers  (2020-10-14T16:46:11Z)
• Emergence of classical behavior in the early universe [68.8204255655161]
  Three notions are often assumed to be essentially equivalent, representing different facets of the same phenomenon. We analyze them in general Friedmann-Lemaitre- Robertson-Walker space-times through the lens of geometric structures on the classical phase space. The analysis shows that: (i) inflation does not play an essential role; classical behavior can emerge much more generally; (ii) the three notions are conceptually distinct; classicality can emerge in one sense but not in another.
  arXiv  Detail & Related papers  (2020-04-22T16:38:25Z)

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.