Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation

• URL: http://arxiv.org/abs/2011.00118v1
• Date: Fri, 30 Oct 2020 22:03:02 GMT
• Title: Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation
• Authors: Andrew D. Maris, Bibek Pokharel, Sharan Ganjam Seshachallam, Moses Z. R. Misplon, Arjendu K. Pattanayak
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the quantum dissipative Duffing oscillator across a range of system sizes and environmental couplings under varying semiclassical approximations. Using spatial (based on Kullback-Leibler distances between phase-space attractors) and temporal (Lyapunov exponent-based) complexity metrics, we isolate the effect of the environment on quantum-classical differences. Moreover, we quantify the system sizes where quantum dynamics cannot be simulated using semiclassical or noise-added classical approximations. Remarkably, we find that a parametrically invariant meta-attractor emerges at a specific length scale and noise-added classical models deviate strongly from quantum dynamics below this scale. Our findings also generalize the previous surprising result that classically regular orbits can have the greatest quantum-classical differences in the semiclassical regime. In particular, we show that the dynamical growth of quantum-classical differences is not determined by the degree of classical chaos.

Related papers

• Motivating semiclassical gravity: a classical-quantum approximation for bipartite quantum systems [0.0]
  We derive a "classical-quantum" approximation scheme for a broad class of bipartite quantum systems. In this approximation, one subsystem evolves via classical equations of motion with quantum corrections, and the other subsystem evolves quantum mechanically.
  arXiv  Detail & Related papers  (2023-06-01T18:05:33Z)
• Learning in quantum games [41.67943127631515]
  We show that the induced quantum state dynamics decompose into (i) a classical, commutative component which governs the dynamics of the system's eigenvalues. We find that the FTQL dynamics incur no more than constant regret in all quantum games.
  arXiv  Detail & Related papers  (2023-02-05T08:23:04Z)
• Towards the resolution of a quantized chaotic phase space: The interplay of dynamics with noise [0.0]
  We outline formal and physical similarities between the quantum dynamics of open systems, and the mesoscopic description of classical systems affected by weak noise. The main tool of our interest is the dissipative Wigner equation, that, for suitable timescales, becomes analogous to the Fokker-Planck equation describing classical advection and diffusion.
  arXiv  Detail & Related papers  (2023-01-04T13:04:16Z)
• Quantum Lyapunov exponent in dissipative systems [68.8204255655161]
  The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. We study the interplay between these two processes. The OTOC decay rate is closely related to the classical Lyapunov.
  arXiv  Detail & Related papers  (2022-11-11T17:06:45Z)
• Species of spaces [0.0]
  The accent is put in situations where traces of noncommutativity, witness of an emblematic feature of quantum mechanise. Complex canonical transformations, spin-statistics, topological quantum fields theory, long time semiclassical approximation and underlying chaotic dynamics are considered.
  arXiv  Detail & Related papers  (2022-06-28T12:00:51Z)
• The role of fluctuations in quantum and classical time crystals [58.720142291102135]
  We study the role of fluctuations on the stability of the system and find no distinction between quantum and classical DTCs. This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
  arXiv  Detail & Related papers  (2022-03-10T19:00:01Z)
• 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 chaos in the spin coherent state representation [0.0]
  We use spin coherent states to compare classical and quantum evolution of a simple paradigmatic, discrete-time quantum dynamical system. In the paper, we presented a different way by comparing evolution of appropriately defined moments of classical and quantum distributions.
  arXiv  Detail & Related papers  (2020-10-27T15:04:40Z)
• 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)
• Bridging entanglement dynamics and chaos in semiclassical systems [0.0]
  We propose a unifying framework which connects the bipartite and multipartite entanglement growth to the quantifiers of classical and quantum chaos. In the semiclassical regime, the dynamics of the von Neumann entanglement entropy, the spin squeezing, the quantum Fisher information and the out-of-time-order square commutator are governed by the divergence of nearby phase-space trajectories.
  arXiv  Detail & Related papers  (2020-05-07T18:00:01Z)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)

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.