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We develop a versatile master equation approach to describe the non-equilibrium dynamics of a two-level system in contact with a bosonic environment, which allows for the exploration of a wide range of parameter regimes within a single…

Mesoscale and Nanoscale Physics · Physics 2011-09-20 Dara P. S. McCutcheon , Nikesh S. Dattani , Erik M. Gauger , Brendon W. Lovett , Ahsan Nazir

Ground state of the dissipative two-state system is investigated by means of the Lanczos diagonalization method. We adopted the Hilbert-space-reduction scheme proposed by Zhang, Jeckelmann and White so as to reduce the overwhelming…

Condensed Matter · Physics 2009-10-31 Yoshihiro Nishiyama

Quantum dynamics of a general dissipative system investigated by its coupling to a Klein-Gordon type field as the environment by introducing a minimal coupling method. As an example, the quantum dynamics of a damped three dimensional…

Quantum Physics · Physics 2007-05-23 F. Kheirandish , A. Amooshahi

The propagation of nonlinear waves in one dimensional space, unsteady and compressible flow in Darcy-type porous media is analyzed. It is assumed that the weak discontinuity propagate long the characteristic path using the characteristics…

Fluid Dynamics · Physics 2019-07-24 Mithilesh Singh

Driven diffusive systems have provided simple models for non-equilibrium systems with non-trivial structures. Steady state behaviour of these systems with constant boundary conditions have been studied extensively. Comparatively less work…

Statistical Mechanics · Physics 2015-12-09 Ayse Ferhan Yesil , M. Cemal Yalabik

We study the onset of dissipation in an atomic Josephson junction between Fermi superfluids in the molecular Bose-Einstein condensation limit of strong attraction. Our simulations identify the critical population imbalance and the maximum…

The quantum Rabi model describes the ultrastrong interaction of a two-level atom coupled to a single quantized bosonic mode. As compared to the Jaynes-Cummings model, in the Rabi model the absorption and emission processes do not need to…

Quantum Physics · Physics 2015-02-24 Boyan T. Torosov , Stefano Longhi , Giuseppe Della Valle

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

Statistical Mechanics · Physics 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados

Expansions in the oscillation modes of tidally perturbed bodies provide a useful framework for representing tidally induced flows. However, recent work has demonstrated that such expansions produce inaccurate predictions for secular orbital…

Solar and Stellar Astrophysics · Physics 2023-10-16 Janosz W. Dewberry , Samantha C. Wu

We modify the Glauber dynamics of the Curie-Weiss model with dissipation in Dai Pra, Fischer, Regoli[2013] by considering arbitrary transition rates and we analyze the phase-portrait as well as the dynamics of moderate fluctuations for…

Probability · Mathematics 2020-05-27 Francesca Collet , Richard C. Kraaij

The turbulent energy flow of the onedimensional Majda-McLaughlin-Tabak equation is studied numerically. The system exhibits weak turbulence for weak driving forces, while weak turbulence coexists with strongly nonlinear intermittent…

Chaotic Dynamics · Physics 2007-05-23 Benno Rumpf Laura Biven

Physical quantum systems are generically coupled to an environment, resulting in open system dynamics. A typical approach to simulating this dynamics is to propagate the density matrix of the system via the Lindblad master equation. This…

Quantum Physics · Physics 2026-03-05 Marcus Meschede , Ludwig Mathey

The behavior of the well-known Ikeda map with very weak dissipation (so called nearly conservative case) is investigated. The changes in the bifurcation structure of the parameter plane while decreasing the dissipation are revealed. It is…

Chaotic Dynamics · Physics 2011-05-31 A. P. Kuznetsov , A. V. Savin , D. V. Savin

Demixing of binary fluids subjected to slow temperature ramps shows repeated waves of nucleation which arise as a consequence of the competition between generation of supersaturation by the temperature ramp and relaxation of supersaturation…

Statistical Mechanics · Physics 2012-10-16 Izabella J. Benczik , Jürgen Vollmer

We introduce a framework where light-matter transitions, rather than states, are the primary dynamical objects. Successive compositions of elementary transitions yield multiphoton processes with compact diagrammatic bookkeeping of resonant…

Quantum Physics · Physics 2026-05-15 Meguebel Mohamed , Maxime Federico , Louis Garbe , Nadia Belabas , Nicolas Fabre

Monochromatically driven two-level systems (i.e., Rabi models) are ubiquitous in various fields of physics. Though they have been exactly solved, the physical pictures in these exact solutions are not clear. Recently, approximate analytical…

Quantum Physics · Physics 2025-04-23 Yingying Han , Shuanghao Zhang , Meijuan Zhang , Q. Guan , Wenxian Zhang , Weidong Li

We show that the interaction between carriers confined in a quantum dot and the surrounding lattice under external driving of carrier dynamics has a dynamical, resonant character. The quality of Rabi oscillations in such a system depends on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Pawel Machnikowski , Lucjan Jacak

We generalize the dispersive theory of the Jaynes-Cummings model beyond the frequently employed rotating-wave approximation (RWA) in the coupling between the two-level system and the resonator. For a detuning sufficiently larger than the…

Quantum Physics · Physics 2010-08-31 David Zueco , Georg M. Reuther , Sigmund Kohler , Peter Hänggi

We study the dynamics of an electron weakly coupled to a phonon gas. The initial state of the electron is the superposition of two spatially localized distant bumps moving towards each other, and the phonons are in a thermal state. We…

Mathematical Physics · Physics 2009-11-13 Riccardo Adami , Laszlo Erdos