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We study the non-equilibrium dynamics of two coupled oscillators interacting with their own heat baths of quantum scalar fields at different temperature $T_1$ and $T_2$ with bilinear couplings between them. We particularly focus on the…

Quantum Physics · Physics 2021-03-26 Wei-Can Syu , Da-Shin Lee , Chen-Pin Yeh

The influence of dissipation on quantum tunneling in the spin-boson model with a sub-Ohmic bath is studied by a variational calculation. By examining the evolution of solutions of the variational equation with the coupling strength near the…

Strongly Correlated Electrons · Physics 2007-05-23 Hang Wong , Zhi-De Chen

We consider a quantum system linearly coupled to a reservoir of harmonic oscillators. For finite coupling strengths, the stationary distribution of the damped system is not of the Gibbs form, in contrast to standard thermodynamics. With the…

Statistical Mechanics · Physics 2013-05-29 Stefanie Hilt , Benedikt Thomas , Eric Lutz

A model for a quantum register dissipatively coupled with a bosonic thermal bath is studied. The register consists of $N$ qubits (i.e. spin ${1/2}$ degrees of freedom), the bath is described by $N_b$ bosonic modes. The register-bath…

Quantum Physics · Physics 2011-08-04 P. Zanardi

The role of singular solutions in some simple quantum mechanical models is studied. The space of the states of two-dimensional quantum harmonic oscillator is shown to be separated into sets of states with different properties.

Mathematical Physics · Physics 2014-03-31 V. V. Belokurov , E. T. Shavgulidze

We analyze the static and dynamical properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate the ground state phase diagram for an ohmic and a…

Mesoscale and Nanoscale Physics · Physics 2010-12-02 Peter P. Orth , David Roosen , Walter Hofstetter , Karyn Le Hur

We study the non-equilibrium dynamics of two coupled mechanical oscillators with general linear couplings to two uncorrelated thermal baths at temperatures $T_1$ and $T_2$, respectively. We obtain the complete solution of the…

Quantum Physics · Physics 2017-07-07 Daniel Boyanovsky , David Jasnow

We investigate the dynamical correlation function of a quantum-mechanical two-state system which is coupled to a bosonic heat bath, utilizing the equivalence between the spin-boson Hamiltonian and the 1/r^2 Ising model. The imaginary-time…

Condensed Matter · Physics 2009-10-30 Klaus Voelker

A fast harmonic oscillator is linearly coupled with a system of Ising spins that are in contact with a thermal bath, and evolve under a slow Glauber dynamics at dimensionless temperature $\theta$. The spins have a coupling constant…

Statistical Mechanics · Physics 2012-03-26 L. L. Bonilla , A. Prados , A. Carpio

We return to the description of the damped harmonic oscillator by means of a closed quantum theory with a general assessment of previous works, in particular the Bateman-Caldirola-Kanai model and a new model recently proposed by one of the…

Quantum Physics · Physics 2014-08-14 M. C. Baldiotti , R. Fresneda , D. M. Gitman

Given a constant of motion for the one-dimensional harmonic oscillator with linear dissipation in the velocity, the problem to get the Hamiltonian for this system is pointed out, and the quantization up to second order in the perturbation…

Quantum Physics · Physics 2009-11-11 Gustavo Lopez , Pablo Lopez

We study a prototypical model of two coupled two-level systems, where the competition between coherent and dissipative coupling gives rise to a rich phenomenology. In particular, we analyze the case of asymmetric coupling, as well as the…

Mesoscale and Nanoscale Physics · Physics 2020-07-27 C. A. Downing , J. C. López Carreño , A. I. Fernández-Domínguez , E. del Valle

Classical coupled harmonic oscillator models are capable of describing the optical and infrared response of nanophotonic systems where a cavity photon couples to dipolar matter excitations. The distinct forms of coupling adopted in these…

Quantum Physics · Physics 2025-02-20 Unai Muniain , Javier Aizpurua , Rainer Hillenbrand , Luis Martín-Moreno , Ruben Esteban

A density oscillator is a fluid system in which oscillatory flow occurs between different density fluids through the pore connecting them. We investigate the synchronization in coupled density oscillators using two-dimensional hydrodynamic…

Pattern Formation and Solitons · Physics 2023-03-27 Nana Takeda , Hiroaki Ito , Hiroyuki Kitahata

The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via…

Quantum Physics · Physics 2020-05-11 Revanth Badveli , Vinayak Jagadish , S. Akshaya , R. Srikanth , Francesco Petruccione

The cooling effects of a nonlinear quantum oscillator via its interaction with an artificial atom (qubit) are investigated. The quantum dissipations through the environmental reservoir of the nonlinear oscillator are included, taking into…

Quantum Physics · Physics 2015-05-18 Mihai A. Macovei , Xiao-Tao Xie

Quantum field theory of a damped vibrating string as the simplest dissipative scalar field investigated by its coupling with an infinit number of Klein-Gordon fields as the environment by introducing a minimal coupling method. Heisenberg…

Quantum Physics · Physics 2009-11-11 Fardin Kheirandish , Majid Amooshahi

In the following, we study the dissipative time-evolution of a quantum chain consisting of three coupled harmonic oscillators, the first and third of which weakly interact quadratically with two independent thermal baths in equilibrium at…

Quantum Physics · Physics 2025-05-23 Melika Babakan , Fabio Benatti , Laleh Memarzadeh

We consider models in which two sets of matched two-level systems are coupled to a common oscillator in the case where the oscillator energy is small relative to the two-level transition energies. Since the two sets of two-level systems are…

Other Condensed Matter · Physics 2007-05-23 Peter L. Hagelstein , Irfan U. Chaudhary

The study of quantum thermodynamics is key to the development of quantum thermal machines. In contrast to most of the previous proposals based on discrete strokes, here we consider a working substance that is permanently coupled to two or…

Quantum Physics · Physics 2022-02-09 Heather Leitch , Nicolò Piccione , Bruno Bellomo , Gabriele De Chiara