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This paper is devoted to generalize some previous results presented in Gaioli et al., Int. J. Theor. Phys. 36, 2167 (1997). We evaluate the autocorrelation function of the stochastic acceleration and study the asymptotic evolution of the…

Quantum Physics · Physics 2007-05-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez , Diego G. Arbo

I present the exact energy eigenstates and eigenvalues of a quantum many-body system of bosons on non-commutative space and in a harmonic oszillator confining potential at the selfdual point. I also argue that this exactly solvable system…

Mathematical Physics · Physics 2008-11-26 Edwin Langmann

The problem of the quantum harmonic oscillator is investigated in the framework of bicomplex numbers, which are pairs of complex numbers making up a commutative ring with zero divisors. Starting with the commutator of the bicomplex position…

Mathematical Physics · Physics 2011-08-09 Raphael Gervais Lavoie , Louis Marchildon , Dominic Rochon

We determine the conditions for the equivalence between the multi-time expectation values of a general finite-dimensional open quantum system when interacting with, respectively, an environment undergoing a free unitary evolution or a…

Quantum Physics · Physics 2023-08-15 A. Smirne , D. Tamascelli , J. Lim , M. B. Plenio , S. F. Huelga

A novel approach is suggested for the statistical description of quantum systems of interacting particles. The key point of this approach is that a typical eigenstate in the energy representation (shape of eigenstates, SE) has a well…

Chaotic Dynamics · Physics 2014-07-29 F. Borgonovi , G. Celardo , F. M. Izrailev , G. Casati

We study the temporal evolution of quantum mechanical fermionic particles exhibiting one bound state within a one-dimensional attractive square-well potential in a heat bath of bosonic particles. For this open quantum system we formulate…

Nuclear Theory · Physics 2024-03-25 Tim Neidig , Jan Rais , Marcus Bleicher , Hendrik van Hees , Carsten Greiner

In the framework of a novel dissipative scheme, we have investigated the quantum dynamics of an oscillating system interacting with two reservoirs with different temperatures trough different time-dependent coupling functions. The reduced…

Quantum Physics · Physics 2025-05-12 Narges Cheraghpour , Fardin Kheirandish

Autonomous quantum thermal machines are particularly suited to understand how correlations between thermal baths, a load, and a thermal machine affect the overall thermodynamic functioning of the setup. Here, we show that by tuning the…

Quantum Physics · Physics 2025-06-23 Gauthameshwar S. , Noufal Jaseem , Dario Poletti

A quantum Otto engine based on a three-dimensional harmonic oscillator is proposed. One of the modes of this oscillator functions as the working fluid, while the other two play the role of baths. The coupling between the working fluid and…

Quantum Physics · Physics 2023-12-07 Aleksandr Rodin

We propose the simple quantum model of nonlinear autonomous oscillator in hard excitation regime. We originate from classical equations of motion for similar oscillator and quantize them using the Lindblad master equation for the density…

Quantum Physics · Physics 2014-12-02 E. D. Vol , M. A. Ialovega

We have constructed a unified framework for generalizing the finite-time thermodynamic behavior of statistically distinct bosonic and fermionic Stirling cycles with regenerative characteristics. In our formalism, working fluid consisting of…

Quantum Physics · Physics 2021-12-08 Nikhil Gupt , Srijan Bhattacharyya , Arnab Ghosh

Open quantum-system dynamics can follow exponential decay, non-exponential relaxation, or oscillatory dynamics, depending on the system-environment coupling. We study a lattice with a boundary defect that transitions between these regimes,…

Digital quantum computers have the potential to simulate complex quantum systems. The spin-boson model is one of such systems, used in disparate physical domains. Importantly, in a number of setups, the spin-boson model is open, i.e. the…

Quantum Physics · Physics 2022-12-21 Andreas Burger , Leong Chuan Kwek , Dario Poletti

A quasi-static process is realized in a purely quantum-mechanical model which is described by oscillator (or particle) systems having relative-phase interactions. Time development of a mixture of two oscillator (or particle) systems which…

Statistical Mechanics · Physics 2016-08-31 T. Kobayashi

Entropy generation in quantum sytems is tied to the existence of a nonclassical environment (heat bath or other) with which the system interacts. The continuous `measuring' of the open system by its environment induces decoherence of its…

Quantum Physics · Physics 2007-05-23 Hans-Thomas Elze

We study the time evolution of bosonic systems where multiple driven bosonic modes of light interact with multiple mechanical resonators through arbitrary, time-dependent, optomechanical-like interactions. We find the analytical expression…

Quantum Physics · Physics 2019-08-27 David Edward Bruschi

We consider a minimal model of a quantum rotator composed of a single particle confined in an harmonic potential and driven by two temperature-biased heat reservoirs. In the case the particle potential is rendered asymmetric and rotated an…

Quantum Physics · Physics 2018-06-01 Hans C. Fogedby , Alberto Imparato

We investigate non-equilibrium steady states of driven-dissipative ideal quantum gases of both bosons and fermions. We focus on systems of sharp particle number that are driven out of equilibrium either by the coupling to several heat baths…

In this paper we study a system of $N$ coupled quantum oscillators interacting with each other directly with varying coupling strengths and indirectly through linear couplings to a scalar massless quantum field as its environment. The…

Quantum Physics · Physics 2013-06-19 J. -T. Hsiang , Rong Zhou , B. L. Hu

We undertake a thorough analysis of the thermodynamics of the trajectories followed by a quantum harmonic oscillator coupled to $N$ dissipative baths by using a new approach to large-deviation theory inspired by phase-space quantum optics.…

Quantum Physics · Physics 2015-07-29 Simon Pigeon , Lorenzo Fusco , André Xuereb , Gabriele De Chiara , Mauro Paternostro
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