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Related papers: Robust open-loop stabilization of Fock states by t…

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We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

We present a novel continuous-time control strategy to exponentially stabilize an eigenstate of a Quantum Non-Demolition (QND) measurement operator. In open-loop, the system converges to a random eigenstate of the measurement operator. The…

Quantum Physics · Physics 2019-06-19 Gerardo Cardona , Alain Sarlette , Pierre Rouchon

We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

Open quantum systems are powerful effective descriptions of quantum systems interacting with their environments. Studying changes of Fock state probabilities can be intricate in this context since the prevailing description of open quantum…

High Energy Physics - Phenomenology · Physics 2026-03-12 Clare Burrage , Christian Käding

We analyze the dynamics of quantum correlations by obtaining the exact expression of Bures distance entanglement, trace distance discord, and local quantum uncertainty of two two-level atoms. Here, the atoms undergo two-photon transitions…

Quantum Physics · Physics 2023-06-06 Nitish Kumar Chandra , Rajiuddin Sk , Prasanta K. Panigrahi

In this communication we investigate the quantum statistics of three harmonic oscillators mutually interacting with each other considering the modes are initially in Fock states. After solving the equations of motion, the squeezing…

Quantum Physics · Physics 2015-05-30 Faisal A. A. El-Orany , J. Perina , M. Sebawe Abdalla

We study the entanglement dynamics of a system consisting of a large number of coupled harmonic oscillators in various configurations and for different types of nearest neighbour interactions. For a one-dimensional chain we provide compact…

Quantum Physics · Physics 2009-11-10 M. B. Plenio , J. Hartley , J. Eisert

Simulating the dynamics of open quantum systems is essential in achieving practical quantum computation and understanding novel nonequilibrium behaviors. However, quantum simulation of a many-body system coupled to an engineered reservoir…

We consider passive Brownian particles trapped in an "imperfect" harmonic trap. The trap is imperfect because it is randomly turned off and on, and as a result, particles fail to equilibrate. Another way to think about this is to say that a…

Statistical Mechanics · Physics 2024-10-10 Derek Frydel

Robust performance of control schemes for open quantum systems is investigated under classical uncertainties in the generators of the dynamics and nonclassical uncertainties due to decoherence and initial state preparation errors. A…

Optimization and Control · Mathematics 2024-06-24 Sophie G. Schirmer , Frank C. Langbein , Carrie A. Weidner , Edmond Jonckheere

Open quantum systems, when driven by a periodic field, can relax to effective statistical ensembles that resemble their equilibrium counterparts. We consider a class of problems in which a periodically- driven quantum system is allowed to…

Statistical Mechanics · Physics 2015-05-27 Thomas Iadecola , Claudio Chamon

This paper presents a first mathematical convergence analysis of a Fock states feedback stabilization scheme via single-photon corrections. This measurement-based feedback has been developed and experimentally tested in 2012 by the cavity…

Optimization and Control · Mathematics 2016-11-18 Hector Bessa Silveira , Paulo Sergio Pereira da Silva , Pierre Rouchon

The task of inducing, via continuous static state-feedback control, an asymptotically stable heteroclinic orbit in a nonlinear control system is considered in this paper. The main motivation comes from the problem of ensuring convergence to…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Christian Fredrik Sætre , Anton S. Shiriaev

We show that steady-state entanglement in open quantum systems is controlled by the phase reference of a phase-sensitive reservoir. Using a covariance-matrix approach for Gaussian-preserving dynamics, we demonstrate that purely local,…

Quantum Physics · Physics 2026-05-06 Areeda Ayoub , Alfonso Castillo-Gonzalez , Eric R Bittner

We study the dynamical multistability of a solid-state single-atom laser implemented in a quantum-dot spin valve. The system is formed by a resonator that interacts with a two-level system in a dot in contact with two ferromagnetic leads of…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 Mattia Mantovani , Andrew D. Armour , Wolfgang Belzig , Gianluca Rastelli

We investigate the long-range statistical correlations, whereby discuss the nature of the undermining interacting/ noninteracting domains and associated phase transitions under variations of the quark mass and the mass scale that…

High Energy Physics - Lattice · Physics 2019-08-19 Bhupendra Nath Tiwari

This paper generalizes the results in [30] concerning feedback stabilization of target states for N-level quantum angular momentum systems undergoing quantum non-demolition measurements (QND) in absence of the knowledge about initial states…

Quantum Physics · Physics 2022-07-29 Weichao Liang , Nina H. Amini

The harmonic oscillator is one of the simplest physical systems but also one of the most fundamental. It is ubiquitous in nature, often serving as an approximation for a more complicated system or as a building block in larger models.…

Quantum Physics · Physics 2011-11-15 K. R. Brown , C. Ospelkaus , Y. Colombe , A. C. Wilson , D. Leibfried , D. J. Wineland

We present a simple quantum circuit that allows for the universal and deterministic manipulation of the quantum state of confined harmonic oscillators. The scheme is based on the selective interactions of the referred oscillator with an…

Quantum Physics · Physics 2007-05-23 Marcelo Franca Santos

Quantum dissipation is studied for a discrete system that linearly interacts with a reservoir of harmonic oscillators at thermal equilibrium. Initial correlations between system and reservoir are assumed to be absent. The dissipative…

Quantum Physics · Physics 2018-07-23 A. J. van Wonderen , L. G. Suttorp