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The paradigm of the two-level atom is revisited and its perturbative analysis is discussed in view of the principle of duality in perturbation theory. The models we consider are a two-level atom and an ensemble of two-level atoms both…

量子物理 · 物理学 2007-05-23 Marco Frasca

The emergence of classical behaviour in quantum theory is often ascribed to the interaction of a quantum system with its environment, which can be interpreted as environmental monitoring of the system. As a result, off-diagonal elements of…

量子物理 · 物理学 2025-04-24 Dorje C. Brody , Eva-Maria Graefe , Rishindra Melanathuru

The agenda of Dissipative Quantum Chaos is to create a toolbox which would allow us to categorize open quantum systems into "chaotic" and "regular" ones. Two approaches to this categorization have been proposed recently. One of them is…

量子物理 · 物理学 2022-04-20 Igor Yusipov , Mikhail Ivanchenko

The non-selective and selective measurements of a self-adjoint observable $A$ in quantum mechanics are interpreted as `jumps' of the state of the measured system into a decohered or pure state, respectively, characterized by the spectral…

数学物理 · 物理学 2017-11-22 Peter Vecsernyés

Certain quantum mechanical potentials give rise to a vanishing perturbation series for at least one energy level (which as we here assume is the ground state), but the true ground-state energy is positive. We show here that in a typical…

高能物理 - 唯象学 · 物理学 2011-07-28 Ulrich D. Jentschura , Jean Zinn-Justin

We treat a system (a molecule or a solid) in which electrons are coupled linearly to any number and type of harmonic oscillators and which is further subject to external forces of arbitrary symmetry. With the treatment restricted to the…

其他凝聚态物理 · 物理学 2009-11-10 Robert Englman , Asher Yahalom

We present a general construction of matrix product states for stationary density matrices of one-dimensional quantum spin systems kept out of equilibrium through boundary Lindblad dynamics. As an application we review the isotropic…

数学物理 · 物理学 2016-12-13 D. Karevski , V. Popkov , G. M. Schütz

We consider the dynamics of a quantum particle of mass $m$ on a $n$-edges star-graph with Hamiltonian $H_K=-(2m)^{-1}\hbar^2 \Delta$ and Kirchhoff conditions in the vertex. We describe the semiclassical limit of the quantum evolution of an…

数学物理 · 物理学 2021-04-09 Claudio Cacciapuoti , Davide Fermi , Andrea Posilicano

A relation between the eigenvalues of an effective Hamilton operator and the poles of the $S$ matrix is derived which holds for isolated as well as for overlapping resonance states. The system may be a many-particle quantum system with…

量子物理 · 物理学 2009-02-06 I. Rotter

An approach to non-adiabatic dynamics of atoms in molecular and condensed matter systems under general non-equilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second…

材料科学 · 物理学 2018-08-01 L. Kantorovich

We generalize the standard Born-Oppenheimer approximation to the case of open quantum systems. We define the zeroth order Born-Oppenheimer approximation of an open quantum system as the regime in which its effective Hamiltonian can be…

量子物理 · 物理学 2013-05-29 X. L. Huang , X. X. Yi

We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes.…

量子物理 · 物理学 2008-10-03 Heinz-Peter Breuer , Bassano Vacchini

We extend Howland time-independent formalism to the case of completely positive and trace preserving dynamics of finite dimensional open quantum systems governed by periodic, time dependent Lindbladian in Weak Coupling Limit, expanding our…

数学物理 · 物理学 2020-09-17 Krzysztof Szczygielski , Robert Alicki

A relativistic quantum mechanics is studied for bound hadronic systems in the framework of the Point Form Relativistic Hamiltonian Dynamics. Negative energy states are introduced taking into account the restrictions imposed by a correct…

核理论 · 物理学 2008-11-26 M. De Sanctis

Motivated by studies of typical properties of quantum states in statistical mechanics, we introduce phase-random states, an ensemble of pure states with fixed amplitudes and uniformly distributed phases in a fixed basis. We first show that…

量子物理 · 物理学 2015-03-19 Yoshifumi Nakata , Peter S. Turner , Mio Murao

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

量子物理 · 物理学 2008-09-01 Bassano Vacchini

The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schrodinger equation. It is shown here that they readily emerge from an o(2,1) calculation of the energy…

数学物理 · 物理学 2015-06-12 C. R. Hagen

Dynamical maps describe general transformations of the state of a physical system, and their iteration can be interpreted as generating a discrete time evolution. Prime examples include classical nonlinear systems undergoing transitions to…

Mesoscopic systems have provided an opportunity to study quantum effects beyond the atomic realm. In these systems quantum coherence prevails over the entire sample. We discuss several novel effects related to persistent currents in open…

介观与纳米尺度物理 · 物理学 2007-05-23 P. Singha Deo , A. M. Jayannavar

The ionization dynamics of a hydrogen molecule, serving as a fundamental benchmark in quantum chemistry, is investigated within a comprehensive framework combining quantum electrodynamics and the Lindblad master equation. This approach…

量子物理 · 物理学 2025-11-27 Hui-hui Miao