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In this paper, we describe a numerical continuation method that enables harmonic analysis of nonlinear periodic oscillators. This method is formulated as a boundary value problem that can be readily implemented by resorting to a standard…

Dynamical Systems · Mathematics 2015-05-19 Federico Bizzarri , Daniele Linaro , Bart Oldeman , Marco Storace

This paper investigates a new formalism to describe real time evolution of quantum systems at finite temperature. A time correlation function among subsystems will be derived which allows for a probabilistic interpretation. Our derivation…

High Energy Physics - Theory · Physics 2009-10-31 E. Mendel , M. Nest

We study decoherence of two non-interacting qubits. The environment and its interaction with the qubits are modelled by random matrices. Decoherence, measured in terms of purity, is calculated in linear response approximation. Monte Carlo…

Quantum Physics · Physics 2007-11-22 C. Pineda , T. Gorin , T. H. Seligman

We study the decoherence induced by the environment over a composite quantum system, comprising two coupled subsystems A and B, which may be a harmonic or an upside-down oscillators. We analyze the case in which the B-subsystem is in direct…

Quantum Physics · Physics 2009-11-11 Fernando C. Lombardo , Paula I. Villar

Starting from a master equation in a quantum Hamilton form we study analytically a nonequilibrium system which is coupled locally to two heat bathes at different temperatures. Based on a lattice gas description an evolution equation for the…

Statistical Mechanics · Physics 2007-05-23 Steffen Trimper , Simone Artz

The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density…

Quantum Physics · Physics 2007-05-23 M. Rodriguez-Achach , G. Perez , H. Cerdeira

In this paper, we want to improved the calculations of the thermodynamic quantities of the relativistic Harmonic oscillator using the Hurwitz zeta function. The comparison of our results with those obtained by a method based on the…

Quantum Physics · Physics 2014-09-23 Abdelmalek Boumali

We study the dissipative dynamics of a harmonic oscillator which couples linearly through its position and its momentum to two independent heat baths at the same temperature. We argue that this model describes a large spin in a ferromagnet.…

Statistical Mechanics · Physics 2009-11-11 Heiner Kohler , Fernando Sols

As known all physical properties of solids are described well by the system of quantum linear harmonic oscillators. It is shown in the present paper that the system consisting of classical linear harmonic oscillators having temperature…

Statistical Mechanics · Physics 2019-06-19 Ikhtier Holmamatovich Umirzakov

We investigate a thermally isolated quantum many-body system with an external control represented by a time-dependent parameter. We formulate a path integral in terms of thermal pure states and derive an effective action for trajectories in…

Statistical Mechanics · Physics 2018-12-19 Shin-ichi Sasa , Sho Sugiura , Yuki Yokokura

Quantum dissipation is studied for a discrete system that linearly interacts with a reservoir of harmonic oscillators at thermal equilibrium. Initial correlations between system and reservoir are assumed to be absent. The dissipative…

Quantum Physics · Physics 2018-08-14 A. J. van Wonderen , L. G. Suttorp

This paper suggests using the configurational temperature $\Tc$ for quantifying how far an active-matter system is from thermal equilibrium. We measure this ``distance'' by the ratio of the systemic temperature $\Ts$ to $\Tc$, where $\Ts$…

Soft Condensed Matter · Physics 2023-02-20 Shibu Saw , Lorenzo Costigliola , Jeppe C. Dyre

We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We exactly solve the eigenvalue problem and obtain the temporal evolution of the dynamical…

Quantum Physics · Physics 2007-05-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez , Javier Guevara

We show that strong parametric driving of a quantum harmonic oscillator coupled to a thermal bath allows one to distinguish between different microscopic models for the oscillator-bath coupling. We consider a bath with an Ohmic spectral…

Atomic Physics · Physics 2018-07-25 Anastasia S. D. Dietrich , Martin Kiffner , Dieter Jaksch

We use a combination of perturbation theory and numerical techniques to study the equilibration of two interacting fields which are initially at thermal equilibrium at different temperatures. Using standard rules of quantum field theory, we…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Vaz , M. E. Carrington , R. Kobes , G. Kunstatter

We study a quantum harmonic oscillator undergoing thermalization. To describe the thermalization process, we generalize the Ermakov-Lewis-Riesenfeld (ELR) invariant method for the oscillator. After imposing appropriate conditions on the…

Quantum Physics · Physics 2022-09-28 Hyeong-Chan Kim , Youngone Lee

Using the numerical path integral method we investigate the decoherence and relaxation of qubits coupled to an Ohmic bath directly and via an intermediate harmonic oscillator (IHO). Here, we suppose the oscillation frequencies of the bath…

Quantum Physics · Physics 2009-11-13 Xian-Ting Liang

In this paper, we study a quantum harmonic oscillator in a Mach-Zehnder-type interferometer which interacts with an environment, including electromagnetic oscillators. By solving the Lindblad master equation, we calculate the resulted…

Quantum Physics · Physics 2018-05-22 Ali Soltanmanesh , Afshin Shafiee

We have studied the quantum dissipative problem of a Gaussian wave packet under the influence of a harmonic potential. A phenomenological approach to dissipation is adopted in the light of the well-known model in which the environment is…

Quantum Physics · Physics 2014-11-11 A. Cidrim , F. E. A. dos Santos , A. O. Caldeira

The quantum average energy decay and the purity decay are studied for a system particle as a function of the number of constituents of a discrete bath model. The system particle is subjected to two distinct physical situations: the harmonic…

Quantum Physics · Physics 2011-11-02 M. D. Galiceanu , M. W. Beims , W. Strunz