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Faithfully simulating the dynamics of open quantum systems requires efficiently addressing the challenge of an infinite Hilbert space. Inspired by the shifted boson operator technique used in ground-state studies of the spin-boson model…

Quantum Physics · Physics 2025-08-27 Yang Zhao , Lipeng Chen

The quantum dynamics of open many-body systems poses a challenge for computational approaches. Here we develop a stochastic scheme based on the positive P phase-space representation to study the nonequilibrium dynamics of coupled spin-boson…

Quantum Physics · Physics 2015-06-11 Stephan Mandt , Darius Sadri , Andrew A. Houck , Hakan E. Türeci

Symmetries and quantum anomalies serve as powerful tools for constraining complicated quantum many-body systems, offering valuable insights into low-energy characteristics based on their ultraviolet structure. Nevertheless, their…

Strongly Correlated Electrons · Physics 2024-09-10 Yunlong Zang , Yingfei Gu , Shenghan Jiang

Employing the non-perturbative numerical renormalization group method, we study the dynamics of the spin-boson model, which describes a two-level system coupled to a bosonic bath with spectral density J(omega) propto omega^s. We show that,…

Statistical Mechanics · Physics 2007-06-13 Frithjof B. Anders , Ralf Bulla , Matthias Vojta

The theory of controlled quantum open systems describes quantum systems interacting with quantum environments and influenced by external forces varying according to given algorithms. It is aimed, for instance, to model quantum devices which…

Quantum Physics · Physics 2022-09-21 Robert Alicki

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

The dynamics of the spin-boson Hamiltonian is considered in the stochastic approximation. The Hamiltonian describes a two-level system coupled to an environment and is widely used in physics, chemistry and the theory of quantum measurement.…

Quantum Physics · Physics 2016-09-08 L. Accardi , S. V. Kozyrev , I. V. Volovich

We consider generalised versions of the spin-boson model at small coupling. We assume the spin (or atom) to sit at the origin $0 \in \mathbb{R}^d$ and the propagation speed $v_p$ of free bosons to be constant, i.e.\ independent of momentum.…

Mathematical Physics · Physics 2014-02-21 W. De Roeck , A. Kupiainen

Within the lowest-order Born approximation, we present an exact calculation of the time dynamics of the spin-boson model in the Ohmic regime. We observe non-Markovian effects at zero temperature that scale with the system-bath coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Daniel Loss , David P. DiVincenzo

Neutrino oscillations are studied in the general framework of open quantum systems by means of extended dynamics that take into account possible dissipative effects. These new phenomena induce modifications in the neutrino oscillation…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Benatti , R. Floreanini

With a choice of boundary conditions for solutions of the Schr\"odinger equation, state vectors and density operators even for closed systems evolve asymmetrically in time. For open systems, standard quantum mechanics consequently predicts…

Quantum Physics · Physics 2010-05-25 P. W. Bryant

We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bosons, if their spectrum is bounded below by a positive…

Statistical Mechanics · Physics 2008-10-28 Nicolae Angelescu , Robert Minlos , Jean Ruiz , Valentin Zagrebnov

We investigate quantum steering of an open quantum system by measurements on its environment in the framework of collision models. As an example we consider a coherently driven qubit dissipatively coupled to a bath. We construct local…

Quantum Physics · Physics 2018-03-23 Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

This paper provides statistical guarantees on the accuracy of dynamical models learned from dependent data sequences. Specifically, we develop uniform error bounds that apply to quantized models and imperfect optimization algorithms…

Machine Learning · Computer Science 2026-02-18 Abdelkader Metakalard , Fabien Lauer , Kevin Colin , Marion Gilson

We analyze decoherence and objectivization processes in spin-spin models for arbitrary spins. We first derive the most general analytic form of the decoherence factor in the measurement limit, where the interaction Hamiltonian dominates the…

Quantum Physics · Physics 2021-11-03 Mateusz Kiciński , Jarosław K. Korbicz

Unfolding is an ill-posed inverse problem in particle physics aiming to infer a true particle-level spectrum from smeared detector-level data. For computational and practical reasons, these spaces are typically discretized using histograms,…

Applications · Statistics 2022-10-19 Michael Stanley , Pratik Patil , Mikael Kuusela

Physics-based and first-principles models pervade the engineering and physical sciences, allowing for the ability to model the dynamics of complex systems with a prescribed accuracy. The approximations used in deriving governing equations…

Machine Learning · Statistics 2023-11-03 Megan R. Ebers , Katherine M. Steele , J. Nathan Kutz

Random and uncontrollable noises from the environment during the design and measurement of superconducting qubits lead to limitations in qubit coherence time and gate fidelity, which is a major challenge in the current state of the art for…

Quantum Physics · Physics 2025-07-09 Hamid Reza Naeij

Open quantum systems are a subject of immense interest as their understanding is crucial in the implementation of modern quantum technologies. In the study of their dynamics, the role of the initial system-environment correlations is…

Quantum Physics · Physics 2023-01-19 Ali Raza Mirza , Mah Noor Jamil , Adam Zaman Chaudhry

We introduce the concept of fidelity for dynamical maps in an open quantum system scenario. We derive an inequality linking this quantity to the distinguishability of the inducing environmental states. Our inequality imposes constraints on…

Quantum Physics · Physics 2017-05-10 Mikko Tukiainen , Henri Lyyra , Gniewomir Sarbicki , Sabrina Maniscalco
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