Analytical solutions for the quantum Brownian motion of a particle during a quantum quench
- URL: http://arxiv.org/abs/2501.16611v1
- Date: Tue, 28 Jan 2025 01:11:35 GMT
- Title: Analytical solutions for the quantum Brownian motion of a particle during a quantum quench
- Authors: Ygor de Oliveira Souza, Caio C. Holanda Ribeiro, Vitorio A. De Lorenci,
- Abstract summary: A particle subjected to a fluctuating force originated from its interaction with an external quantum system.
Brownian motion is characterized from the perspective of the energy extracted from the reservoir.
- Score: 0.0
- License:
- Abstract: A particle subjected to a fluctuating force originated from its interaction with an external quantum system undergoes quantum Brownian motion. This phenomenon is investigated in detail for the case of a particle confined by a harmonic potential and allowed to interact with a reservoir modeled as a continuum of oscillators, with particular emphasis on transient effects. Assuming a linear coupling between the particle and the reservoir, canonical quantization of the system is implemented, and analytical expressions for the quantum correlations are derived. These correlations are then applied to analyze energy conservation, and the particle Brownian motion is characterized from the perspective of the energy extracted from the reservoir.
Related papers
- Partial confinement in a quantum-link simulator [25.949731736282295]
We show that the spin-1 quantum link model provides an excellent platform for exploring partial confinement.
We conduct a comprehensive investigation of the physics emerging from partial confinement in both the context of equilibrium and non-equilibrium dynamics.
Our work offers a simple and feasible routine for the study of confinement-related physics in the state-of-the-art artificial quantum systems.
arXiv Detail & Related papers (2024-04-28T06:55:08Z) - Independent-oscillator model and the quantum Langevin equation for an oscillator: A review [19.372542786476803]
A derivation of the quantum Langevin equation is outlined based on the microscopic model of the heat bath.
In the steady state, we analyze the quantum counterpart of energy equipartition theorem.
The free energy, entropy, specific heat, and third law of thermodynamics are discussed for one-dimensional quantum Brownian motion.
arXiv Detail & Related papers (2023-06-05T07:59:35Z) - Quantum information entropy of a particle trapped by the
Aharonov-Bohm-type effect [4.8244546750150965]
We investigate the quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect.
For quantum information study, it is necessary to investigate the eigenstates of the quantum system.
arXiv Detail & Related papers (2022-12-19T01:39:17Z) - Effects of critical correlations on quantum percolation in two
dimensions [0.0]
We consider a two-dimensional tight-binding model that interacts with a background of classical spins in thermal equilibrium.
To capture the salient features of the classical transition, we focus on the strong coupling limit.
We provide evidence that the classical phase transition might induce a delocalization-localization transition in the quantum system at certain energies.
arXiv Detail & Related papers (2022-03-28T18:00:01Z) - Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays [48.06402199083057]
We study the effects of atoms in cavities which can absorb and emit photons as they propagate down the array.
Our model is equivalent to previously examined spin chains in the one-excitation sector and in the absence of emitters.
arXiv Detail & Related papers (2021-12-10T18:52:07Z) - Equivalence of dissipative and dissipationless dynamics of interacting
quantum systems with its application to the unitary Fermi gas [0.0]
We analytically study quantum dissipative dynamics described by the Caldirola-Kanai model with inter-particle interactions.
We have found that the dissipative quantum dynamics of the Caldirola-Kanai model can be exactly mapped to a dissipationless quantum dynamics under a negative external harmonic potential.
arXiv Detail & Related papers (2021-06-25T13:18:03Z) - Molecular Interactions Induced by a Static Electric Field in Quantum
Mechanics and Quantum Electrodynamics [68.98428372162448]
We study the interaction between two neutral atoms or molecules subject to a uniform static electric field.
Our focus is to understand the interplay between leading contributions to field-induced electrostatics/polarization and dispersion interactions.
arXiv Detail & Related papers (2021-03-30T14:45:30Z) - Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum [58.720142291102135]
We show traces of quantum friction in the degradation of the quantum coherence of a particle.
We propose to use the accumulated geometric phase acquired by a particle as a quantum friction sensor.
The experimentally viable scheme presented can spark renewed optimism for the detection of non-contact friction.
arXiv Detail & Related papers (2021-03-22T16:25:27Z) - Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders.
All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection.
This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z) - The appearance of particle tracks in detectors [15.69806651672675]
A quantum particle propagating in a detector, such as a Wilson cloud chamber, leaves a track close to a classical trajectory.
We introduce an idealized quantum-mechanical model of a charged particle that is periodically illuminated by pulses of laser light.
We present a mathematically rigorous analysis of the appearance of particle tracks, assuming that the Hamiltonian of the particle is in the position- and momentum operators.
arXiv Detail & Related papers (2020-07-01T22:08:28Z)
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.