Scarring in classical chaotic dynamics with noise
- URL: http://arxiv.org/abs/2101.08362v3
- Date: Wed, 21 Apr 2021 17:26:04 GMT
- Title: Scarring in classical chaotic dynamics with noise
- Authors: Domenico Lippolis, Akira Shudo, Kensuke Yoshida, Hajime Yoshino
- Abstract summary: scarring is enhancement of probability density around unstable periodic orbits of a chaotic system.
Scarring can be measured by studying autocorrelation functions and their power spectra.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We report the numerical observation of scarring, that is enhancement of
probability density around unstable periodic orbits of a chaotic system, in the
eigenfunctions of the classical Perron-Frobenius operator of noisy Anosov
("cat") maps, as well as in the noisy Bunimovich stadium. A parallel is drawn
between classical and quantum scars, based on the unitarity or non-unitarity of
the respective propagators. For uniformly hyperbolic systems such as the cat
map, we provide a mechanistic explanation for the classical phase-space
localization detected, based on the distribution of finite-time Lyapunov
exponents, and the interplay of noise with deterministic dynamics. Classical
scarring can be measured by studying autocorrelation functions and their power
spectra.
Related papers
- On the quantum origin of limit cycles, fixed points, and critical slowing down [1.8771881051078294]
We show how coherent limit-cycle oscillations and algebraic decay can emerge in a quantum system governed by a Markovian master equation.
In particular, we demonstrate that the fingerprint of a limit cycle is a slow-decaying branch with vanishing decoherence rates in the Liouville spectrum.
arXiv Detail & Related papers (2024-05-14T18:00:01Z) - Stochastic action for the entanglement of a noisy monitored two-qubit
system [55.2480439325792]
We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and inter-qubit coupling.
We construct a Hamiltonian by incorporating the noise into the Chantasri-Dressel-Jordan path integral and use it to identify the optimal entanglement dynamics.
Numerical investigation of long-time steady-state entanglement reveals a non-monotonic relationship between concurrence and noise strength.
arXiv Detail & Related papers (2024-03-13T11:14:10Z) - 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) - 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) - Classical approach to equilibrium of out-of-time ordered correlators in
mixed systems [0.0]
The out-of-time ordered correlator (OTOC) is a measure of scrambling of quantum information.
In this work, we show that classical generalized resonances govern the relaxation to equilibrium of the OTOC in the ubiquitous case of a system with mixed dynamics.
arXiv Detail & Related papers (2023-03-11T01:33:26Z) - 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) - 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) - Harmonic oscillator kicked by spin measurements: a Floquet-like system
without classical analogous [62.997667081978825]
The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom.
The dynamics of this system is determined in closed analytical form.
We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
arXiv Detail & Related papers (2021-11-23T20:25:57Z) - 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) - 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)
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.