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In this investigation, the displacement operator is revisited. We established a connection between the Hermitian version of this operator with the well-known Weyl ordering. Besides, we characterized the quantum properties of a simple…

统计力学 · 物理学 2018-10-24 F. A. Brito , F. F. Santos , J. R. L. Santos

We combine the formalisms of diagonal entropy and Jarzynski Equality to study the thermodynamic properties of closed quantum systems. Applying this approach to a quantum harmonic oscillator, the diagonal entropy offers a notion of…

量子物理 · 物理学 2013-07-09 Van A. Ngo , Stephan Haas

An exact invariant operator of time-dependent coupled oscillators is derived using the Liouville-von Neumann equation. The unitary relation between this invariant and the invariant of two uncoupled simple harmonic oscillators is…

量子物理 · 物理学 2022-10-17 Jeong Ryeol Choi

A quantum thermodynamic system can conserve non-commuting observables, but the consequences of this phenomenon on relaxation are still not fully understood. We investigate this problem by leveraging an observable-dependent approach to…

Nonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work…

高能物理 - 唯象学 · 物理学 2022-03-14 Tomáš Blažek , Peter Maták

We present our numerical study on quantum thermodynamics of the resonant level model subjected to non-equilibrium condition as well as external driving. Following our previous work on non-equilibrium quantum thermodynamics (Phys. Rev. B…

统计力学 · 物理学 2022-11-09 Kaiyi Tong , Wenjie Dou

Statistical mechanics of the discrete nonlinear Schr\"odinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of standard Gibbsian equilibrium measures for…

统计力学 · 物理学 2009-10-31 K. Ø. Rasmussen , T. Cretegny , P. G. Kevrekidis , N. Grønbech-Jensen

The quantum mechanical properties of the strongly non-linear quantum oscillator in the Poeschl Teller model are considered. In the first place, the energy spectrum and its dependence upon the confinement parameter i.e., the width of the box…

量子物理 · 物理学 2021-05-10 Yu. G. Rudoy , E. O. Oladimeji

Non-equilibrium thermodynamics of the driven resonant level model is studied using numerical simulations based on the driven Liouville von-Neumann formalism. The approach is first validated against recently obtained analytical results for…

介观与纳米尺度物理 · 物理学 2019-10-08 Annabelle Oz , Oded Hod , Abraham Nitzan

Using the general framework of nonequilibrium statistical mechanics for relativistic quantum field systems we derive the basic equations of quantum field kinetics. The main aim of the approach is calculation of observables associated with…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Makhlin

Many advanced quantum techniques feature non-Gaussian dynamics, and the ability to manipulate the system in that domain is the next-stage in many experiments. One example of meaningful non-Gaussian dynamics is that of a double-well…

Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial…

高能物理 - 唯象学 · 物理学 2009-10-28 A. D. Dolgov

Based on thermodynamic principles, we derive expressions quantifying the non-harmonic vibrational behavior of materials, which are rigorous yet easily evaluated from experimentally available data for the thermal expansion coefficient and…

材料科学 · 物理学 2016-07-29 Dipanshu Bansal , Amjad Aref , Gary Dargush , Olivier Delaire

For the model of a linearly driven quantum anharmonic oscillator, the role of damping is investigated. We compare the position of the stable points in phase space obtained from a classical analysis to the result of a quantum mechanical…

量子物理 · 物理学 2012-12-27 Lingzhen Guo , Michael Marthaler , Stephan André , Gerd Schön

We determine the energy-momentum tensor of non-perfect fluids in thermodynamic equilibrium. To this end, we derive the constitutive equations for energy density, isotropic and anisotropic pressure as well as for heat-flux from the…

广义相对论与量子宇宙学 · 物理学 2016-04-26 Konrad Schatz , Horst-Heino von Borzeszkowski , Thoralf Chrobok

We consider a quantum point contact between two Luttinger liquids coupled to a mechanical system (oscillator). For non-vanishing bias, we find an effective oscillator temperature that depends on the Luttinger parameter. A generalized…

强关联电子 · 物理学 2009-11-07 M. B. Hastings , I. Martin , D. Mozyrsky

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…

统计力学 · 物理学 2015-06-15 George L. Barnes , Michael E. Kellman

We study the internal dynamics of an elementary quantum system placed close to a body held at a temperature different from that of the surrounding radiation. We derive general expressions for lifetime and density matrix valid for bodies of…

量子物理 · 物理学 2015-03-20 Bruno Bellomo , Riccardo Messina , Mauro Antezza

A closed expression for the density operator of the damped harmonic oscillator is extracted from the master equation based on the Lindblad theory for open quantum systems. The entropy and effective temperature of the system are subsequently…

高能物理 - 理论 · 物理学 2007-05-23 A. Isar

We calculate the far-from-equilibrium dynamics and thermalization both for the quantum and the classical O(N)--model. The early and late-time behavior can be described from the 2PI--loop expansion for weak couplings or the nonperturbative…

高能物理 - 唯象学 · 物理学 2009-11-07 J. Berges