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We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

Quantum Physics · Physics 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

We propose a general framework for investigating a large class of stabilization problems in Markovian quantum systems. Building on the notions of invariant and attractive quantum subsystem, we characterize attractive subspaces by exploring…

Quantum Physics · Physics 2010-12-08 Francesco Ticozzi , Lorenza Viola

Motivated by the recent contribution \cite{BB17} we study the scaling limit behavior of a class of one-dimensional stochastic differential equations which has a unique attracting point subject to a small additional repulsive perturbation.…

Mathematical Physics · Physics 2019-06-26 Martin Kolb , Matthias Liesenfeld

The dynamics for an open quantum system can be `unravelled' in infinitely many ways, depending on how the environment is monitored, yielding different sorts of conditioned states, evolving stochastically. In the case of ideal monitoring…

Quantum Physics · Physics 2014-11-21 L. Li , A. Chia , H. M. Wiseman

We study quantum decoherence numerically in a system consisting of a relativistic quantum field theory coupled to a measuring device that is itself coupled to an environment. The measuring device and environment are treated as quantum,…

Quantum Physics · Physics 2020-10-13 Chris Nagele , Oliver Janssen , Matthew Kleban

We analyse the quantum dynamics of a micromechanical resonator capacitively coupled to a Cooper box. With appropriate quantum state control of the Cooper box, the resonator can be driven into a superposition of spatially separated states.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. D. Armour , M. P. Blencowe , K. C. Schwab

We analyze the indirect exchange interaction between two two-state systems, e.g., spins 1/2, subject to a common finite-temperature environment modeled by bosonic modes. The environmental modes, e.g., phonons or cavity photons, are also a…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Dmitry Solenov , Denis Tolkunov , Vladimir Privman

A microscopic theory of optical transitions in quantum dots with carrier-phonon interaction is developed. Virtual transitions into higher confined states with acoustic phonon assistance add a quadratic phonon coupling to the standard linear…

Condensed Matter · Physics 2009-11-10 E. A. Muljarov , R. Zimmermann

In this study, we propose a spin-star model for spin-(1/2) particles in order to examine the coherence dynamics of a quantum neural network (QNN) unit. Since quantum computing paradigm promises advantages over their classical counterparts,…

Quantum Physics · Physics 2019-05-03 Deniz Türkpençe , Tahir Çetin Akıncı , Serhat Şeker

We introduce a new approximation scheme for evaluation of onset of decoherence at low temperatures in quantum systems interacting with environment. The approximation is argued to apply at short and intermediate times. It provides an…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Vladimir Privman

We study numerically the damping of quantum oscillations and the increase of entropy with time in model spin systems decohered by a spin bath. In some experimentally relevant cases, the oscillations of considerable amplitude can persist…

Quantum Physics · Physics 2007-05-23 V. V. Dobrovitski , H. A. De Raedt , M. I. Katsnelson , B. N. Harmon

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

Electron spin states of solid-state defects such as Nitrogen- and Silicon-vacancy {\em color centers} in diamond are a leading quantum-memory candidate for quantum communications and computing. Via open-quantum-systems modeling of…

Quantum Physics · Physics 2024-01-26 Prajit Dhara , Saikat Guha

We study the decoherence dynamics of a quantum Ising lattice of finite size with a transverse dissipative interaction, namely the coupling with the bath is assumed perpendicular to the direction of the spins interaction and parallel to the…

Strongly Correlated Electrons · Physics 2020-12-17 Hannes Weisbrich , C. Saussol , Wolfgang Belzig , Gianluca Rastelli

We obtain and analyze the indirect exchange interaction between two two-state systems, e.g., spins, in a formulation that also incorporates the quantum noise that they experience, due to a bosonic environment, for instance, phonons. We…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Dmitry Solenov , Denis Tolkunov , Vladimir Privman

We study monitored quantum dynamics of infinite-range interacting bosonic systems in the thermodynamic limit. We show that under semiclassical assumptions, the quantum fluctuations along single monitored trajectories adopt a deterministic…

Quantum Physics · Physics 2025-09-22 Zejian Li , Anna Delmonte , Rosario Fazio

We study the synchronization behavior of discrete-time Markov chains on countable state spaces. Representing a Markov chain in terms of a random dynamical system, which describes the collective dynamics of trajectories driven by the same…

Dynamical Systems · Mathematics 2025-08-14 Robin Chemnitz , Maximilian Engel , Guillermo Olicón-Mendez

A challenge of modern physics is to investigate the quantum behavior of a bulk material object, for instance a mechanical oscillator. We have earlier demonstrated that by coupling a mechanical oscillator to the energy levels of embedded…

Quantum Physics · Physics 2020-04-08 Y. Le Coq , K. Mølmer , S. Seidelin

We study the dynamics of a dissipative two-level, system driven by a monochromatic ac field, starting from the usual spin-boson Hamiltonian. The quantum Langevin equations for the spin variables are obtained. The amplitude of the coherent…

Statistical Mechanics · Physics 2009-10-30 T. P. Pareek , Mangal C. Mahato , A. M. Jayannavar

We study the equilibrium and dynamical properties of the ANNNI (axial next-nearest-neighbor Ising) chain at the multiphase point. An interesting property of the system is the macroscopic degeneracy of the ground state leading to finite…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , B. Sriram Shastry , Chandan Dasgupta
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