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Consistent dynamics which couples classical and quantum degrees of freedom exists, provided it is stochastic. This dynamics is linear in the hybrid state, completely positive and trace preserving. One application of this is to study the…

Quantum Physics · Physics 2023-01-04 Jonathan Oppenheim , Carlo Sparaciari , Barbara Šoda , Zachary Weller-Davies

We describe how to characterize dynamical phase transitions in open quantum systems from a purely dynamical perspective, namely, through the statistical behavior of quantum jump trajectories. This approach goes beyond considering only…

Statistical Mechanics · Physics 2013-04-26 Igor Lesanovsky , Merlijn van Horssen , Madalin Guta , Juan P. Garrahan

We investigate the problem of what evolutions an open quantum system described by a time-local Master equation can undergo with universal coherent controls. A series of conditions are given which exclude channels from being reachable by any…

Quantum Physics · Physics 2016-08-08 Benjamin Dive , Daniel Burgarth , Florian Mintert

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…

Quantum Physics · Physics 2013-11-19 P. Schindler , M. Müller , D. Nigg , J. T. Barreiro , E. A. Martinez , M. Hennrich , T. Monz , S. Diehl , P. Zoller , R. Blatt

Non-Markovian evolution of an open quantum system can be `unraveled' into pure state trajectories generated by a non-Markovian stochastic (diffusive) Schr\"odinger equation, as introduced by Di\'osi, Gisin, and Strunz. Recently we have…

Quantum Physics · Physics 2009-11-10 Jay Gambetta , T. Askerud , H. M. Wiseman

We consider the dynamics of a 1D system evolving according to a deterministic drift and randomly forced by two types of jumps processes, one representing an external, uncontrolled forcing and the other one a control that instantaneously…

Statistical Mechanics · Physics 2019-10-30 Mark S. Bartlett Amilcare Porporato Lamberto Rondoni

Solution of free particle quantum master equation with spatial decoherence can be unravelled into stochastic quantum trajectories in many ways. The first example, published in 1985, proposed a piecewise deterministic jump process for the…

Quantum Physics · Physics 2017-10-10 Gábor Homa , Lajos Diósi

The irreversible motion of an open quantum system can be represented through an ensemble of state vectors following a stochastic dynamics with piecewise deterministic paths. It is shown that this representation leads to a natural definition…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

Markovian open quantum systems are governed by the Lindblad master equation where the dissipation contains two parts, i.e., the anti-Hermitian operator and the quantum jumps, which share a common dissipation rate. We generalize the Lindblad…

Quantum Physics · Physics 2025-03-11 Xu-Ke Gu , Li-Zhou Tan , Franco Nori , J. Q. You

A continuously measured quantum system with multiple jump channels gives rise to a stochastic process described by random jump times and random emitted symbols, representing each jump channel. While much is known about the waiting time…

Quantum Physics · Physics 2023-06-21 Gabriel T. Landi

Quantum trajectories of a Markovian open quantum system arise from the back-action of measurements performed in the environment with which the system interacts. In this work, we consider counting measurements of quantum jumps, corresponding…

Quantum Physics · Physics 2025-07-23 Calum A. Brown , Katarzyna Macieszczak , Robert L. Jack

We study the dynamics of quantum systems interacting with a stream of entangled qubits. Under fairly general conditions, we present a detailed framework describing the conditional dynamical maps for the system, called quantum trajectories,…

Quantum Physics · Physics 2022-08-04 Shakib Daryanoosh , Alexei Gilchrist , Ben Q. Baragiola

The state matrix $\rho$ for an open quantum system with Markovian evolution obeys a master equation. The master equation evolution can be unraveled into stochastic nonlinear trajectories for a pure state $P$, such that on average $P$…

Quantum Physics · Physics 2009-11-06 H. M. Wiseman , L. Diosi

The model of open quantum systems is adopted to describe the non-local dynamical behaviour of qubits processed by entangling gates. The analysis gets to the conclusion that a distinction between evaluation steps and task-oriented computing…

Quantum Physics · Physics 2015-12-24 Stefano Bonzio , Paola Verrucchi

A new method for stochastic unraveling of general time-local quantum master equations (QME) which involve the reduced density operator at time t only is proposed. The present kind of jump algorithm enables a numerically efficient treatment…

Quantum Physics · Physics 2009-11-07 Ulrich Kleinekathoefer , Ivan Kondov , Michael Schreiber

Understanding dissipation in open quantum systems is crucial for the development of robust quantum technologies. In this work, we introduce a Transformer-based machine learning framework to infer time-dependent dissipation rates in quantum…

Quantum Physics · Physics 2025-05-13 Chi-Sheng Chen , En-Jui Kuo

We propose a new form for the quantum master equation in the theory of open quantum systems. This new formalism allows one to describe the dynamics of two-level systems moving along different hyperbolic trajectories with distinct proper…

High Energy Physics - Theory · Physics 2023-01-11 M. S. Soares , G. Menezes , N. F. Svaiter

The dynamics of open quantum systems can be simulated by unraveling it into an ensemble of pure state trajectories undergoing non-unitary monitored evolution, which has recently been shown to undergo measurement-induced entanglement phase…

Quantum Physics · Physics 2025-03-26 Zhuo Chen , Yimu Bao , Soonwon Choi

One among the possible realizations of non-Hermitian systems is based on open quantum systems by omitting quantum jumping terms in the master equation. This is a good approximation at short times where the effects of quantum jumps can be…

Quantum Physics · Physics 2023-09-21 Xiangyu Niu , Jianning Li , S. L. Wu , X. X. Yi

We investigate a novel type of conditional dynamic that occurs in the strongly-driven Jaynes-Cummings model with dissipation. Extending the work of Alsing and Carmichael [Quantum Opt. {\bf 3}, 13 (1991)], we present a combined numerical and…

Quantum Physics · Physics 2009-01-23 H. Mabuchi , H. M. Wiseman