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From the time dependence of states of one of them, the dynamics of two interacting qubits is determined to be one of two possibilities that differ only by a change of signs of parameters in the Hamiltonian. The only exception is a simple…

量子物理 · 物理学 2009-11-13 Thomas F. Jordan , Anil Shaji , E. C. G. Sudarshan

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

高能物理 - 理论 · 物理学 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

We consider a system of $N$ identical independent Markov processes, each taking values 0 or 1. The system describes a stochastic dynamics of an ensemble of two-level atoms. The atoms are exposed to a photon flux. Under the photon flux…

概率论 · 数学 2019-05-01 E. Pechersky , S. Pirogov , G. M. Schütz , A. Vladimirov , A. Yambartsev

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

量子物理 · 物理学 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

Quantum computing employs controllable interactions to perform sequences of logical gates and entire algorithms on quantum registers. This paradigm has been widely explored, e.g., for simulating dynamics of manybody systems by decomposing…

量子物理 · 物理学 2025-05-21 S. Alipour , A. T. Rezakhani , Alireza Tavanfar , K. Mölmer , T. Ala-Nissila

We generalize Lyapunov's convexity theorem for classical (scalar-valued) measures to quantum (operator-valued) measures. In particular, we show that the range of a nonatomic quantum probability measure is a weak*-closed convex set of…

泛函分析 · 数学 2018-09-12 Sarah Plosker , Christopher Ramsey

The physical regions (domains or basins) within the molecular structure are open systems that exchange charge between them and consequently house a fractional number of electrons (net charge). The natural framework describing the quantum…

量子物理 · 物理学 2023-10-23 Roberto Bochicchio , Boris Maulén

This paper presents a nonperturbative treatment of strong-coupling induced effects in atom-field systems which cannot be seen in traditional perturbative treatments invoking compromising assumptions such as the Born-Markov, rotating wave or…

量子物理 · 物理学 2020-02-25 Jen-Tsung Hsiang , Bei-Lok Hu

We characterize to what extent it is possible to modify the stationary states of a quantum dynamical semigroup, that describes the irreversible evolution of a two-level system, by means of an auxiliary two-level system. We consider systems…

量子物理 · 物理学 2009-11-13 Raffaele Romano

A "strongly" interacting, and entangling, heavy, non recoiling, external particle effects a significant change of the environment. Described locally, the corresponding entanglement event is a generalized electric Aharonov Bohm effect, that…

量子物理 · 物理学 2011-04-26 T. Kaufherr , Y. Aharonov , S. Nussinov , S. Popescu , J. Tollaksen

We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to…

量子物理 · 物理学 2012-07-03 Florentin Reiter , Anders S. Sørensen

The temporal evolution of quantum statistical properties of an interacting atom-radiation field system in the presence of a classical homogeneous gravitational field is investigated within the framework of the Jaynes-Cummings model. To…

量子物理 · 物理学 2009-11-13 M. Mohammadi , M. H. Naderi , M. Soltanolkotabi

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

核理论 · 物理学 2014-11-18 A. Leviatan

We provide a class of quantum evolution beyond Markovian semigroup. This class is governed by a hybrid Davies like generator such that dissipation is controlled by a suitable memory kernel and decoherence by standard GKLS generator. These…

量子物理 · 物理学 2021-04-30 Dariusz Chruściński

Multi-terminal Aharonov-Bohm (AB) rings are ideal building blocks for quantum networks (QNs) thanks to their ability to map input states into controlled coherent superpositions of output states. We report on experiments performed on…

介观与纳米尺度物理 · 物理学 2010-05-24 E. Strambini , V. Piazza , G. Biasiol , L. Sorba , F. Beltram

Imposing initial conditions to nonequilibrium systems at some time t_0 leads, in renormalized quantum field theory, to the appearance of singularities in the variable t-t_0 in relevant physical quantities, such as energy density and…

高能物理 - 理论 · 物理学 2011-07-19 Juergen Baacke , Katrin Heitmann , Carsten Patzold

The adiabatic particle number in mean field theory obeys a quantum Vlasov equation which is nonlocal in time. For weak, slowly varying electric fields this particle number can be identified with the single particle distribution function in…

高能物理 - 唯象学 · 物理学 2009-10-31 Yuval Kluger , Emil Mottola , Judah M. Eisenberg

This article considers some control problems for closed and open two-level quantum systems. The closed system's dynamics is governed by the Schr\"odinger equation with coherent control. The open system's dynamics is governed by the…

量子物理 · 物理学 2023-12-01 Oleg V. Morzhin , Alexander N. Pechen

These notes are a short introduction to the mathematical theory of open quantum systems. They are meant to serve as an entry point into a broad research area which has applications across the quantum sciences dealing with systems subjected…

量子物理 · 物理学 2026-03-13 Marco Merkli , Ángel Neira

Consistent dynamics which couples classical and quantum degrees of freedom exists, provided it is stochastic. This dynamics is linear in the hybrid state, completely positive and trace preserving. One application of this is to study the…

量子物理 · 物理学 2023-01-04 Jonathan Oppenheim , Carlo Sparaciari , Barbara Šoda , Zachary Weller-Davies
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