Hidden quantum-classical correspondence in chaotic billiards revealed by mutual information

• URL: http://arxiv.org/abs/2505.08205v1
• Date: Tue, 13 May 2025 03:37:29 GMT
• Title: Hidden quantum-classical correspondence in chaotic billiards revealed by mutual information
• Authors: Kyu-Won Park, Soojoon Lee, Kabgyun Jeong,
• Abstract summary: Increasing chaos in quantum billiards enhances mutual information between conjugate phase space variables.<n> spatial delocalization may coincide with increased mutual information between position and momentum.<n>These correlations track classical invariant structures in phase space and persist beyond the semiclassical regime.
• Score: 0.8192907805418583
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Avoided level crossings, commonly associated with quantum chaos, are typically interpreted as signatures of eigenstate hybridization and spatial delocalization, often viewed as ergodic spreading. We show that, contrary to this expectation, increasing chaos in quantum billiards enhances mutual information between conjugate phase space variables, revealing nontrivial correlations. Using an information-theoretic decomposition of eigenstate entropy, we demonstrate that spatial delocalization may coincide with increased mutual information between position and momentum. These correlations track classical invariant structures in phase space and persist beyond the semiclassical regime, suggesting a robust information-theoretic manifestation of quantum-classical correspondence.

Related papers

• Quantum correlations curvature, memory functions, and fundamental bounds [51.85131234265026]
  We show that quantum geometry can qualitatively modify the imaginary-time decay of correlations, leading to nontrivial curvature behavior.<n>More generally, we show a universal bound on correlation curvature that holds for interacting systems in thermal equilibrium.
  arXiv  Detail & Related papers  (2025-12-22T01:33:11Z)
• Entanglement Structure of Nonlocal Field Theories [0.0]
  We show that nonlocality gives rise to quantum states of such complexity that conventional geometric models of spacetime fall short.<n>Our results demonstrate that nonlocality gives rise to quantum states of such complexity that conventional geometric models of spacetime fall short.
  arXiv  Detail & Related papers  (2025-11-13T17:12:15Z)
• Quantum and Semi-Classical Signatures of Dissipative Chaos in the Steady State [0.40498500266986387]
  We investigate the quantum-classical correspondence in open quantum many-body systems using the SU(3) Bose-Hubbard trimer as a minimal model.<n>We show that classical dynamical behavior, as quantified by the sign of the Lyapunov exponent, governs the level statistics of the steady-state density matrix.
  arXiv  Detail & Related papers  (2025-06-17T20:21:06Z)
• Dynamical signatures of non-Markovianity in a dissipative-driven qubit [0.0]
  We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a bosonic environment. Non-Markovian features are quantified by comparing on an equal footing the predictions from diverse and complementary approaches to quantum dissipation.
  arXiv  Detail & Related papers  (2024-01-17T15:58:50Z)
• 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)
• Real-space quantum-to-classical transition of time dependent background fluctuations [0.0]
  We show that a real-space approach can comprehensively address the quantum-to-classical transition problem in the leading order of curvature perturbations. We extract classicality signatures from a multi-mode Gaussian state and address them primarily in terms of entanglement entropy and log-classicality. We then extend the analysis to leading order fluctuations in $(+1)-$dimensions to show that a quantum-to-classical transition occurs in the de-Sitter expansion.
  arXiv  Detail & Related papers  (2023-07-25T16:17:30Z)
• 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)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems [0.0]
  We investigate the behavior of classical analogs arising upon the removal of interference traits. By comparing the quantum and classical entropy values, it is shown that, instead of entanglement production, such entropies rather provide us with information.
  arXiv  Detail & Related papers  (2021-11-19T11:39:15Z)
• 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)
• Synchronisation phase as an indicator of persistent quantum correlations between subsystems [68.8204255655161]
  Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. We show that our analysis applies to a variety of spontaneously synchronising open quantum systems.
  arXiv  Detail & Related papers  (2020-06-29T17:21:32Z)
• Signatures of topology in quantum quench dynamics and their interrelation [0.0]
  We study the conditions for the appearance of entanglement spectrum crossings, dynamical quantum phase transitions, and dynamical Chern numbers. For non-interacting models, we show that in general there is no direct relation between these three quantities.
  arXiv  Detail & Related papers  (2020-03-17T18:15:36Z)

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.