Out-of-Time-Order-Correlator for van der Waals potential
- URL: http://arxiv.org/abs/2301.10323v1
- Date: Fri, 20 Jan 2023 16:44:51 GMT
- Title: Out-of-Time-Order-Correlator for van der Waals potential
- Authors: Hui Li, Eli Halperin, Reuben R. W. Wang, John L. Bohn
- Abstract summary: Quantum-to-classical correspondence is often quantified in dynamics by a quantity referred to as the out-of-time-order correlator (OTOC)
In chaotic systems, the OTOC is expected to grow exponentially at early time, characteristic of a Lyapunov exponent, however, exponential growth can also occur for integrable systems.
- Score: 3.024013954270987
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The quantum-to-classical correspondence is often quantified in dynamics by a
quantity referred to as the out-of-time-order correlator (OTOC). In chaotic
systems, the OTOC is expected to grow exponentially at early time,
characteristic of a Lyapunov exponent, however, exponential growth can also
occur for integrable systems. Here we investigate the OTOC for realistic
diatomic molecular potentials in one degree of freedom, finding that the OTOC
can grow exponentially near the dissociation energy of the moelcule. Further,
this dynamics is tied to the classical dynamics of the atoms at the outer
classical turning point of the potential. These results should serve to guide
and interpret dynamical chaos in more complex molecules.
Related papers
- Instantons and the quantum bound to chaos [0.0]
A remarkable prediction is that the associated Lyapunov exponent obeys a universal bound $lambda 2 pi k_B T/hbar$.
We investigate the statistical origin of the bound by applying ring-polymer molecular dynamics to a classically chaotic double well.
arXiv Detail & Related papers (2022-12-20T12:30:10Z) - 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) - Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator.
Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration.
This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
arXiv Detail & Related papers (2021-12-21T19:57:30Z) - 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) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Out-of-time-order correlations and the fine structure of eigenstate
thermalisation [58.720142291102135]
Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation.
We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH)
We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
arXiv Detail & Related papers (2021-03-01T17:51:46Z) - Microscope for Quantum Dynamics with Planck Cell Resolution [0.0]
dependence of this OTOC on the initial state makes it function like a microscope.
We find an explicit relation of this OTOC to the spreading of the wave function in the Hilbert space.
arXiv Detail & Related papers (2021-01-25T09:30:15Z) - Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas.
Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit.
The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
arXiv Detail & Related papers (2020-08-05T18:00:26Z) - Exponential growth of out-of-time-order correlator without chaos:
inverted harmonic oscillator [0.0]
We numerically observe the exponential growth of the thermal out-of-time-order correlator (OTOC) when the temperature is higher than a certain threshold.
The study confirms that the exponential growth of the thermal OTOC does not necessarily mean chaos when the potential includes a local maximum.
arXiv Detail & Related papers (2020-07-09T12:37:29Z) - The nonlinear semiclassical dynamics of the unbalanced, open Dicke model [0.0]
The Dicke model exhibits a quantum phase transition to a state in which the atoms collectively emit light into the cavity mode, known as superradiance.
We study this system in the semiclassical (mean field) limit, neglecting the role of quantum fluctuations.
We find that a flip of the collective spin can result in the sudden emergence of chaotic dynamics.
arXiv Detail & Related papers (2020-04-09T11:13:20Z)
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.