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Classical-like formulas are given in order to evaluate thermal averages of observables belonging to a quantum nonlinear system with dissipation described by the Caldeira-Leggett model [Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N.Y.) 149,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Andrea Rossi , Valerio Tognetti , Ruggero Vaia

The effects of dissipation on the thermodynamic properties of nonlinear quantum systems are approached by the path-integral method in order to construct approximate classical-like formulas for evaluating thermal averages of thermodynamic…

Statistical Mechanics · Physics 2016-11-23 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

We consider quantum nonlinear many-body systems with dissipation described within the Caldeira-Leggett model, i.e., by a nonlocal action in the path integral for the density matrix. Approximate classical-like formulas for thermodynamic…

Statistical Mechanics · Physics 2009-10-31 A. Cuccoli , A. Fubini , V. Tognetti , R. Vaia

The properties of a quantum dissipative scalar field is analyzed by Caldeira-Leggett model in strong-coupling regime. The Lagrangian of the total system is canonically quantized and the full Hamiltonian is diagonalized using Fano technique.…

Quantum Physics · Physics 2017-02-01 Marjan Jafari , Fardin Kheirandish

We study the dynamics of a quantum particle coupled to dissipative (ohmic) environments, such as an electron liquid. For some choices of couplings, the properties of the particle can be described in terms of an effective mass. A particular…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Guinea

A recent promising arena for quantum advantage is simulating exponentially large classical systems. Here, we show how this advantage can be used to calculate the dynamics of open classical systems experiencing dissipation, including the…

Quantum Physics · Physics 2025-03-17 Agi Villanyi , Yariv Yanay , Ari Mizel

The standard {\em system-plus-reservoir} approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion…

Statistical Mechanics · Physics 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

Employing a classical density-functional description of liquid environments, we introduce a rigorous method for the diffusion quantum Monte Carlo calculation of free energies and thermodynamic averages of solvated systems that requires…

A nonlinear quantum-classical transition wave equation is proposed for dissipative systems within the Caldirola-Kanai model. Equivalence of this transition equation to a scaled Schr\"{o}dinger equation is proved. The dissipative dynamics is…

Quantum Physics · Physics 2018-03-19 S. V. Mousavi , S. Miret-Artés

Dirac's method of classical analogy is employed to incorporate quantum degrees of freedom into modern nonequilibrium thermodynamics. The proposed formulation of dissipative quantum mechanics builds entirely upon the geometric structures…

Quantum Physics · Physics 2018-03-09 Hans Christian Öttinger

Active matter denotes a system of particles immersed in an external environment, from which the particles extract energy continuously in order to perform directed motion. Extending the paradigm of active matter to a quantum framework…

Driven nonlinear quantum oscillators are a central platform for quantum technologies, yet their dissipative dynamics are typically described using Lindblad or Caldeira-Leggett master equations derived under assumptions that exclude…

Quantum Physics · Physics 2026-05-11 Jakob Wagner , Jeff Maki , Oded Zilberberg , Kilian Seibold

An efficient Path Integral Monte Carlo procedure is proposed to simulate the behavior of quantum many-body dissipative systems described within the framework of the influence functional. Thermodynamic observables are obtained by Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

Caldeira-Leggett model of reservoir is generalized to a reservoir modeled by a continuum of real Klein-Gordon fields, instead of harmonic oscillators. A quantum Langevin type dissipative equation is obtained for the scalar field. The…

Quantum Physics · Physics 2017-01-09 A. Refaei , F. Kheirandish

Quantum diffusion is a major topic in condensed-matter physics, and the Caldeira-Leggett model has been one of the most successful approaches to study this phenomenon. Here, we generalize this model by coupling the bath to the system…

Statistical Mechanics · Physics 2024-06-05 Audrique Vertessen , Robin C. Verstraten , Cristiane Morais Smith

Dissipative quantum systems are frequently described within the framework of the so-called "system-plus-reservoir" approach. In this work we assign their description to the Maximum Entropy Formalism and compare the resulting thermodynamic…

Statistical Mechanics · Physics 2017-01-04 Lisan M. M. Durão , Amir O. Caldeira

In this article we present a full description of the quantum Kerr Ising model---a linear optical network of parametrically pumped Kerr non-linearities. We consider the non-dissapative Kerr Ising model and, using variational techniques, show…

Quantum Physics · Physics 2020-02-05 Michael Kewming , Sally Shrapnel , Gerard Milburn

In this brief report we discuss the action functional of a particle with damping, showing that it can be obtained from the dissipative equation of motion through a modification which makes the new dissipative equation invariant for time…

Statistical Mechanics · Physics 2019-09-12 Federico de Bettin , Alberto Cappellaro , Luca Salasnich

Decoherence can be provided by a dissipative environment as described by the Caldeira-Leggett equation. This equation is foundational to the theory of quantum dissipation. However, no experimental test has been performed that measures for…

Quantum Physics · Physics 2022-01-24 Raul Puente , Zilin Chen , Herman Batelaan

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…

Strongly Correlated Electrons · Physics 2009-11-07 M. B. Hastings , I. Martin , D. Mozyrsky
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