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We analyze two coupled quantum oscillators in a common Lorentzian environment and control them by detuning (temporarily shifting) their frequencies. The reduced dynamics are solved exactly, without Born or Markov approximations, by…

Quantum Physics · Physics 2026-01-30 Ali Abu-Nada , Lian-Ao Wu

Memory or time-non-local effects in open quantum dynamics pose theoretical as well as practical challenges in the understanding and control of noisy quantum systems. While there has been a comprehensive and concerted effort towards…

Quantum Physics · Physics 2025-09-25 A. Keefe , N. Agarwal , A. Kamal

A brief presentation of the basic concepts in quantum probability theory is given in comparison to the classical one. The notion of quantum white noise, its explicit representation in Fock space, and necessary results of noncommutative…

Quantum Physics · Physics 2007-05-23 V. P. Belavkin

We study the dynamics of inertial particles in turbulence using datasets obtained from both direct numerical simulations and laboratory experiments of turbulent swirling flows. By analyzing time series of particle velocity increments at…

On the basis of the closed-time path formalism of non-equilibrium quantum field theory, we derive the real-time quantum dynamics of heavy quark systems. Even though our primary goal is the description of heavy quarkonia, our method allows a…

High Energy Physics - Phenomenology · Physics 2015-06-11 Yukinao Akamatsu

A class of random non-stationary signals termed timbre x dynamics is introduced and studied. These signals are obtained by non-linear transformations of sta-tionary random gaussian signals, in such a way that the transformation can be…

Information Theory · Computer Science 2015-10-29 H Omer , B Torrésani

Continuous variable quantum state tomography is one of the most powerful techniques to study the properties of light fields in quantum optics. However, the need for a fixed phase reference has so far prevented widespread usage in other…

Optics · Physics 2020-02-24 Johannes Thewes , Carolin Lüders , Marc Aßmann

High-dimensional dynamical systems projected onto a reduced-order model cease to be deterministic and are best described by probability distributions in state space. Their equations of motion map onto an evolution operator with a…

Fluid Dynamics · Physics 2024-11-20 Javier Jiménez

Dissipative phase transitions in quantum systems have been largely studied under the so-called Markovian approximation, where the environments to which the systems are coupled are memoryless. Here, we present a generalization of the…

Quantum Physics · Physics 2024-10-28 Baptiste Debecker , John Martin , François Damanet

The spatially-temporal model of an all-solid-state passively Q-switched oscillator with an active medium providing the stimulated Raman scattering is presented. The model does not presume a Gaussian shape of the cylindrically symmetric…

Optics · Physics 2010-02-28 V. L. Kalashnikov , A. M. Malyarevich , K. V. Yumashev

We unveil a novel source of non-Markovianity for the dynamics of quantum systems, which appears when the system does not explore the full set of dynamical trajectories in the interaction with its environment. We term this effect…

We measure the detuning-dependent dynamics of a quasi-resonantly excited single quantum dot coupled to a micropillar cavity. The system is modeled with the dissipative Jaynes-Cummings model where all experimental parameters are determined…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 K. H. Madsen , S. Ates , T. Lund-Hansen , A. Löffler , S. Reitzenstein , A. Forchel , P. Lodahl

The trajectories of the pilot-wave formulation of quantum mechanics and hence its empirical predictions may be recovered via the dynamics of a density function on the configuration space of a system, without reference to a physical wave…

Quantum Physics · Physics 2023-04-20 Philipp Roser , Matthew T. Scoggins

In many applications, the common assumption that a driving noise process affecting a system is independent or Markovian may not be realistic, but the noise process may be assumed to be stationary. To study such problems, this paper…

Probability · Mathematics 2018-01-08 Serdar Yüksel

For many open quantum systems, a master equation approach employing the Markov approximation cannot reliably describe the dynamical behaviour. This is the case, for example, in a number of solid state or biological systems, and it has…

Quantum Physics · Physics 2015-06-16 V. Venkataraman , A. D. K. Plato , Tommaso Tufarelli , M. S. Kim

We investigate the effects of relatively rapid variations of the boundaries of an overmoded cavity on the stochastic properties of its interior acoustic or electromagnetic field. For quasi-static variations, this field can be represented as…

Classical Physics · Physics 2009-11-13 L. R. Arnaut

We give an explicit stochastic Hamiltonian model of discontinuous unitary evolution for quantum spontaneous jumps like in a system of atoms in quantum optics, or in a system of quantum particles that interacts singularly with "bubbles"…

Quantum Physics · Physics 2009-11-11 V. P. Belavkin , O. Melsheimer

The dynamical properties of nuclei, carried by the concept of phonon quasiparticles (QP), are central to the field of condensed matter. While the harmonic approximation can reproduce a number of properties observed in real crystals, the…

Materials Science · Physics 2023-12-19 Aloïs Castellano , J. P. Alvarinhas Batista , Matthieu J. Verstraete

The degree of non-Markovianity allows to characterizing quantum evolutions that depart from a Markovian regime in a similar way as Schmidt number measures the degree of entanglement of pure states. Maximally non-Markovian dynamics are the…

Quantum Physics · Physics 2018-06-05 Adrián A. Budini

We formulate a general method for the study of semiclassical-like dynamics in stable regions of a mixed phase-space, in order to theoretically study the dynamics of quantum accelerator modes. In the simplest case, this involves determining…

Atomic Physics · Physics 2007-05-23 R. Bach , K. Burnett , M. B. d'Arcy , S. A. Gardiner
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