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Quantum Brownian motion, described by the Caldeira-Leggett model, brings insights to understand phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing…

Statistical Mechanics · Physics 2021-12-15 Jin-Fu Chen , Tian Qiu , H. T. Quan

On the basis of a coherent state representation of quantum noise operator and an ensemble averaging procedure a scheme for quantum Brownian motion has been proposed recently [Banerjee {\it et al}, Phys. Rev. E {\bf65}, 021109 (2002);…

Statistical Mechanics · Physics 2009-11-10 Debashis Barik , Suman Kumar Banik , Deb Shankar Ray

Generalizing to relativistic exponential scaling and using the theory of noise from quantum fluctuations, it has been shown that one vacuum (Rindler, Hartle-Hawking, or Gibbons-Hawking for the cases of the uniformly accelerated detector,…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Chiranjeeb Singha , Subhashish Banerjee

Fluctuation theorems have become an important tool in single molecule biophysics to measure free energy differences from non-equilibrium experiments. When significant coarse-graining or noise affect the measurements, the determination of…

Statistical Mechanics · Physics 2016-03-09 Reinaldo García-García , Sourabh Lahiri , David Lacoste

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

The unpredictable process of state collapse caused by quantum measurements makes the generation of quantum randomness possible. In this paper, we explore the quantitive connection between the randomness generation and the state collapse and…

Quantum Physics · Physics 2023-08-21 Liang-Liang Sun , Xingjian Zhang , Xiang Zhou , Zheng-Da Li , Xiongfeng Ma , Jingyun Fan , Sixia Yu

The hypothesis of the self-induced collapse of the inflaton wave function was proposed as responsible for the emergence of inhomogeneity and anisotropy at all scales. This proposal was studied within an almost de Sitter space-time…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Micol Benetti , Susana J. Landau , Jailson S. Alcaniz

We have measured a response to a black body radiation and noise of the cold-electron bolometers. The experimental results have been fitted by theoretical model with two heat-balance equations. The measured noise has been decomposed into…

Instrumentation and Detectors · Physics 2017-05-24 A. V. Gordeeva , V. O. Zbrozhek , A. L. Pankratov , L. S. Revin , V. A. Shamporov , A. A. Gunbina , L. S. Kuzmin

Quantum noise correlations have been employed in several areas in physics including condensed matter, quantum optics and ultracold atom to reveal non-classical states of the systems. So far, such analysis mostly focused on systems in…

Quantum Gases · Physics 2011-07-22 Takuya Kitagawa , Adilet Imambekov , Jörg Schmiedmayer , Eugene Demler

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

Quantum Hall Dynamics is formulated on von Neumann lattice representation where electrons in Landau levels are defined on lattice sites and are treated systematically like lattice fermions. We give a proof of the integer Hall effect, namely…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Ishikawa , N. Maeda , T. Ochiai , H. Suzuki

We analyze the thermal fluctuations of a free, conformally invariant, Maxwell quantum field (photon) interacting with a cosmological background spacetime, in the framework of quantum field theory in curved spacetimes and semiclassical and…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Markus B. Fröb , Dražen Glavan , Paolo Meda

We use the stochastic quantization method to construct a supersymmetric version of the quantum spherical model. This is based on the equivalence between the Brownian motion described by a Langevin equation and the supersymmetric quantum…

Statistical Mechanics · Physics 2013-09-24 P. F. Bienzobaz , Pedro R. S. Gomes , M. Gomes

We study an inertial Brownian particle moving in a symmetric periodic substrate, driven by a zero-mean biharmonic force and correlated thermal noise. The Brownian motion is described in terms of a Generalized Langevin Equation with an…

Statistical Mechanics · Physics 2010-10-19 Lukasz Machura , Jerzy Luczka

The question of collapse (blow-up) in finite time is investigated for the two-dimensional (non-integrable) space-time nonlocal nonlinear Schrodinger equations. Starting from the two-dimensional extension of the well known AKNS q,r system,…

Pattern Formation and Solitons · Physics 2024-02-20 Justin T. Cole , Abdullah M. Aurko , Ziad H. Musslimani

The emergence of the seeds of cosmic structure, from a perfect isotropic and homogeneous Universe, has not been clearly explained by the standard version of inflationary models as the dynamics involved preserve the homogeneity and isotropy…

General Relativity and Quantum Cosmology · Physics 2015-01-08 Gabriel León , Susana J. Landau , María Pía Piccirilli

In this article it will be introduced a new theorem, can be considered a generalization of Hellmann-Feynman theorem[1]. The latter used in conjunction with the quantization of the free energy[2] of a quantum system allows to derive…

Materials Science · Physics 2020-12-02 S. Selenu

We investigate the motion of a colloidal particle driven out of equilibrium by an external torque. We use the molecular dynamics simulation that is alternative to the numerical integration approach based on the Langevin equation and is…

Statistical Mechanics · Physics 2017-03-08 Donghwan Yoo , Youngkyun Jung , Chulan Kwon

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

Chaotic Dynamics · Physics 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

On the basis of a proposed model of wave function collapse, we investigate spontaneous localization of a quantum state. The model is similar to the Ghirardi-Rimini-Weber model, while we postulate the localization functions to depend on the…

Quantum Physics · Physics 2007-05-23 Takuya Okabe