691 research outputs found
The rotating wave system-reservoir coupling: limitations and meaning in the non-Markovian regime
This paper deals with the dissipative dynamics of a quantum harmonic
oscillator interacting with a bosonic reservoir. The Master Equations based on
the Rotating Wave and on the Feynman-Vernon system--reservoir couplings are
compared highlighting differences and analogies. We discuss quantitatively and
qualitatively the conditions under which the counter rotating terms can be
neglected. By comparing the analytic solution of the heating function relative
to the two different coupling models we conclude that, even in the weak
coupling limit, the counter rotating terms give rise to a significant
contribution in the non--Markovian short time regime. The main result of this
paper is that such a contribution is actually experimentally measurable and
thus relevant for a correct description of the system dynamics.Comment: 14 pages, 3 figure
Quantum theory of heating of a single trapped ion
The heating of trapped ions due to the interaction with a {\it quantized
environment} is studied {\it without performing the Born-Markov approximation}.
A generalized master equation local in time is derived and a novel theoretical
approach to solve it analytically is proposed. Our master equation is in the
Lindblad form with time dependent coefficients, thus allowing the simulation of
the dynamics by means of the Monte Carlo Wave Function (MCWF) method.Comment: 4 pages, 3 figure
Misbelief and misunderstandings on the non--Markovian dynamics of a damped harmonic oscillator
We use the exact solution for the damped harmonic oscillator to discuss some
relevant aspects of its open dynamics often mislead or misunderstood. We
compare two different approximations both referred to as Rotating Wave
Approximation. Using a specific example, we clarify some issues related to
non--Markovian dynamics, non--Lindblad type dynamics, and positivity of the
density matrix.Comment: 6 pages, 2 figures, added info: submitted to J. Opt. B: Quantum and
Semiclass. Opt., Special Issue of the 10th Central European Workshop on
Quantum Optics, reference added, discussion clarifie
Simulating open quantum systems with trapped ions
This paper focuses on the possibility of simulating the open system dynamics of a paradigmatic model, namely the damped harmonic oscillator, with single trapped ions. The key idea consists in using a controllable physical system, i.e. a single trapped ion interacting with an engineered reservoir, to simulate the dynamics of other open systems usually difficult to study. The exact dynamics of the damped harmonic oscillator under very general conditions is firstly derived. Some peculiar characteristic of the system's dynamics are then presented. Finally a way to implement with trapped ion the specific quantum simulator of interest is discussed
Lindblad and non--Lindblad type dynamics of a quantum Brownian particle
The dynamics of a typical open quantum system, namely a quantum Brownian
particle in a harmonic potential, is studied focussing on its non-Markovian
regime. Both an analytic approach and a stochastic wave function approach are
used to describe the exact time evolution of the system. The border between two
very different dynamical regimes, the Lindblad and non-Lindblad regimes, is
identified and the relevant physical variables governing the passage from one
regime to the other are singled out. The non-Markovian short time dynamics is
studied in detail by looking at the mean energy, the squeezing, the Mandel
parameter and the Wigner function of the system.Comment: 13 pages, 4 figures, v2:added discussion on Wigner function,
squeezing, and Mandel paramete
Dicke model and environment-induced entanglement in ion-cavity QED
We investigate realistic experimental conditions under which the collective
Dicke model can be implemented in ion-cavity QED context. We show how ideal
subradiance and superradiance can be observed and we propose an experiment to
generate entanglement exploiting the existence of the subradiant state. We
explore the conditions to achieve optimal entanglement generation and we show
that they are reachable with current experimental technology.Comment: 17 pages, 11 figures. V2: published version, one reference added,
typos correcte
Statistical advances in epidemiology and public health
The key role of statistical modeling in epidemiology and public health is unquestionable [...]
Non-Markovianity, Loschmidt echo and criticality: a unified picture
A simple relationship between recently proposed measures of non-Markovianity
and the Loschmidt echo is established, holding for a two-level system (qubit)
undergoing pure dephasing due to a coupling with a many-body environment. We
show that the Loschmidt echo is intimately related to the information flowing
out from and occasionally back into the system. This, in turn, determines the
non-Markovianity of the reduced dynamics. In particular, we consider a central
qubit coupled to a quantum Ising ring in the transverse field. In this context,
the information flux between system and environment is strongly affected by the
environmental criticality; the qubit dynamics is shown to be Markovian exactly
and only at the critical point. Therefore non-Markovianity is an indicator of
criticality in the model considered here
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