Classical and Quantum Correlation Functions for a Ring Model
- URL: http://arxiv.org/abs/2107.01932v1
- Date: Mon, 5 Jul 2021 10:56:40 GMT
- Title: Classical and Quantum Correlation Functions for a Ring Model
- Authors: B.Buck and C.V.Sukumar
- Abstract summary: It is shown that the decaying behaviour of the classical expression for the correlation function can be recovered by taking the limit that the Planck's constant goes to zero.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Classical and quantum correlation functions are derived for a system of
non-interacting particles moving on a circle. It is shown that the decaying
behaviour of the classical expression for the correlation function can be
recovered from the strictly periodic quantum mechanical expression by taking
the limit that the Planck's constant goes to zero, after an appropriate
transformation.
Related papers
- Attractive-repulsive interaction in coupled quantum oscillators [14.37149160708975]
We find an interesting symmetry-breaking transition from quantum limit cycle oscillation to quantum inhomogeneous steady state.
This transition is contrary to the previously known symmetry-breaking transition from quantum homogeneous to inhomogeneous steady state.
Remarkably, we find the generation of entanglement associated with the symmetry-breaking transition that has no analogue in the classical domain.
arXiv Detail & Related papers (2024-08-23T10:45:19Z) - A quantum oscillator interacting with a classical oscillator [3.7355759505527133]
We study a quantum oscillator interacting and back-reacting on a classical oscillator.
We solve the system using the classical-quantum path integral formulation.
This serves as a toy model for a number of other systems in which one system can be treated as effectively classical.
arXiv Detail & Related papers (2024-03-12T10:13:02Z) - Quantum Simulation of Conical Intersections [7.85411031368342]
We show how the conical intersections (CIs) can be correctly described on quantum devices.
A hybrid quantum-classical procedure is used to locate the seam of CIs.
Results on noisy intermediate-scale quantum devices showcase the potential of quantum computers in dealing with problems in nonadiabatic chemistry.
arXiv Detail & Related papers (2024-01-28T04:14:43Z) - Hybrid quantum-classical systems: Quasi-free Markovian dynamics [0.0]
In the case of a quantum-classical hybrid system, the problem of characterizing the most general dynamical semigroup is solved under the restriction of being quasi-free.
We show how to extract multi-time probabilities and how to connect them to the quantum notions of positive operator valued measure and instrument.
A concrete example is given, showing how a classical component can input noise into a quantum one and how the classical system can extract information on the behaviour of the quantum one.
arXiv Detail & Related papers (2023-07-05T19:26:09Z) - Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - 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) - Correspondence Between the Energy Equipartition Theorem in Classical
Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
In quantum mechanics, the energy per degree of freedom is not equally distributed.
We show that in the high-temperature regime, the classical result is recovered.
arXiv Detail & Related papers (2022-05-24T20:51:03Z) - 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) - Nonlinear Description of Quantum Dynamics. Generalized Coherent States [0.0]
In this work it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states.
The immersion of a classical manifold into the Hilbert space of quantum mechanics is employed.
arXiv Detail & Related papers (2020-09-07T16:47:51Z) - Quantum and semi-classical aspects of confined systems with variable
mass [0.3149883354098941]
We explore the quantization of classical models with position-dependent mass terms constrained to a bounded interval in the canonical position.
For a non-separable function $Pi(q,p)$, a purely quantum minimal-coupling term arises in the form of a vector potential for both the quantum and semi-classical models.
arXiv Detail & Related papers (2020-05-28T18:50:24Z)
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.