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An $S$--matrix approach is developed for the chaotic dynamics of a nonlinear oscillator with dissipation. The quantum--classical crossover is studied in the framework of the semiclassical expansion for the $S$--matrix. Analytical…

Chaotic Dynamics · Physics 2009-11-10 A. Iomin

We study interaction effects on the orbital magnetism of diffusive mesoscopic quantum systems. By combining many-body perturbation theory with semiclassical techniques, we show that the interaction contribution to the ensemble averaged…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Ullmo , K. Richter , H. U. Baranger , F. von Oppen , R. A. Jalabert

As a paradigmatic model of open quantum system, the spin-boson model is widely used in theoretical and experimental investigations. Beyond the weak coupling limit, the spin dynamics can be described by a time-nonlocal generalized master…

Statistical Mechanics · Physics 2018-08-10 L. Magazzù , S. Denisov , P. Hänggi

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

We obtain exact analytic expressions for a class of functions expressed as integrals over the Haar measure of the unitary group in d dimensions. Based on these general mathematical results, we investigate generic dynamical properties of…

Quantum Physics · Physics 2013-04-30 Manuel Gessner , Heinz-Peter Breuer

The paper discusses the transformation of decorated Ising models into an effective \textit{undecorated} spin models, using the most general Hamiltonian for interacting Ising models including a long range and high order interactions. The…

Mathematical Physics · Physics 2011-03-02 Onofre Rojas , J. S. Valverde , S. M. de Souza

One way to look for complex behaviours in many-body quantum systems is to let the number $N$ of degrees of freedom become large and focus upon collective observables. Mean-field quantities scaling as $1/N$ tend to commute, whence complexity…

Quantum Physics · Physics 2015-10-29 F. Benatti , F. Carollo , R. Floreanini

Conventional wisdom holds that macroscopic classical phenomena naturally emerge from microscopic quantum laws. However, despite this mantra, building direct connections between these two descriptions has remained an enduring scientific…

The two-time nonequilibrium correlation and response functions in 1D kinetic classical spin systems with non-conserved dynamics and quenched to their zero-temperature critical point are studied. The exact solution of the kinetic Ising model…

Statistical Mechanics · Physics 2008-11-26 Malte Henkel , Gunter M. Schütz

We present a framework for the realization of dissipative evolutions of spin-boson models, including multiphoton exchange dynamics, as well as nonlinear transition rates. Our approach is based on the implementation of a generalized version…

Quantum Physics · Physics 2019-03-04 Ricardo Puebla , Jorge Casanova , Oussama Houhou , Enrique Solano , Mauro Paternostro

A quantum computing circuit is presented that approximates a single spin wave quantum on a linear chain of spin 1/2 particles described by a Heisenberg Hamiltonian. The circuit is a product state where each qubit represents a spin. The spin…

Quantum Physics · Physics 2025-07-31 Daniel D. Stancil , Bojko N. Bakalov , Gregory T. Byrd

This text is a short introduction to the physics of driven-dissipative many-body systems, focusing on a few selected topics. Beyond its more ``historical'' interest in the study of atomic physics and quantum optics, presently the modeling…

Quantum Physics · Physics 2026-04-02 Fabrizio Minganti , Alberto Biella

We present a theory of magnetotransport through an electronic orbital, where the electron spin interacts with a (sufficiently) large external spin via an exchange interaction. Using a semiclassical approximation, we derive a set of…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Klemens Mosshammer , Tobias Brandes

We propose a cavity QED setup which implements a dissipative Lipkin-Meshkov-Glick model -- an interacting collective spin system. By varying the external model parameters the system can be made to undergo both first-and second-order quantum…

Quantum Physics · Physics 2008-05-07 S. Morrison , A. S. Parkins

The Dicke model -- a paradigmatic example of superradiance in quantum optics -- describes an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of the cooperative nature of these interactions, the system's…

Quantum Gases · Physics 2019-12-16 Bihui Zhu , Jamir Marino , Norman Y. Yao , Mikhail D. Lukin , Eugene A. Demler

Open quantum systems host a wide range of intriguing phenomena, yet their simulation on well-controlled quantum devices is challenging, owing to the exponential growth of the Hilbert space and the inherently non-unitary nature of the…

Interacting quantum spin models are remarkably useful for describing different types of physical, chemical, and biological systems. Significant understanding of their equilibrium properties has been achieved to date, especially for the case…

Quantum Physics · Physics 2015-06-16 Johannes Schachenmayer , Alexander Pikovski , Ana Maria Rey

Time-resolved photoemission spectroscopy provides a unique and direct way to explore the real-time nonequilibrium dynamics of electrons and holes. The formal theory of the spectral function evolution requires inclusion of electronic…

Materials Science · Physics 2025-05-09 Thomas Blommel , Enrico Perfetto , Gianluca Stefanucci , Vojtěch Vlček

We show that a chain of Heisenberg spins interacting with long-range dipolar forces in a magnetic field h perpendicular to the chain exhibits a quantum critical point belonging to the two-dimensional Ising universality class. Within linear…

Strongly Correlated Electrons · Physics 2011-11-28 Aldo Isidori , Annika Ruppel , Andreas Kreisel , Peter Kopietz , Alexander Mai , Reinhard M. Noack

We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These…

Quantum Physics · Physics 2007-05-23 S. Anders , M. B. Plenio , W. Dür , F. Verstraete , H. -J. Briegel
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