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We derive an extension to the quantum regression theorem which facilitates the calculation of two-time correlation functions and emission spectra for systems undergoing non-Markovian evolution. The derivation exploits projection operator…

量子物理 · 物理学 2016-05-04 Dara P. S. McCutcheon

We present a new approach for investigating the Markovian to non-Markovian transition in quantum aggregates strongly coupled to a vibrational bath through the analysis of linear absorption spectra. Utilizing hierarchical algebraic equations…

量子物理 · 物理学 2025-12-05 Zeng-Zhao Li , Chi-Hang Lam , Cho-Tung Yip , Bo Li

Quantum emitters coupled to structured photonic reservoirs experience unconventional individual and collective dynamics emerging from the interplay between dimensionality and non-trivial photon energy dispersions. In this work, we…

量子物理 · 物理学 2018-10-02 A. González-Tudela , J. I. Cirac

Nanoscale devices - either biological or artificial - operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually…

量子物理 · 物理学 2021-11-17 Thibaut Lacroix , Angus Dunnett , Dominic Gribben , Brendon W. Lovett , Alex Chin

We present a non-Markovian quantum trajectory method for treating atoms radiating into a reservoir with a non-flat density of states. The results of an example numerical simulation of the case where the free space modes of the reservoir are…

量子物理 · 物理学 2009-10-31 M. W. Jack , M. J. Collett , D. F. Walls

We investigate the asymptotic dynamics of exact quantum Brownian motion. We find that non-Markovianity can persist in the long-time limit, and that in general the asymptotic behaviour depends strongly on the system-environment coupling and…

量子物理 · 物理学 2018-04-11 Giuseppe Petrillo , Gianpaolo Torre , Fabrizio Illuminati

All physical systems are to some extent open and interacting with their environment. This insight, basic as it may seem, gives rise to the necessity of protecting quantum systems from decoherence in quantum technologies and is at the heart…

量子物理 · 物理学 2020-05-05 S. Groeblacher , A. Trubarov , N. Prigge , G. D. Cole , M. Aspelmeyer , J. Eisert

We present an algorithm to simulate genuine, measurement-conditioned quantum trajectories for a class of non-Markovian systems, using a collision model for the environment. We derive two versions of the algorithm, the first corresponding to…

量子物理 · 物理学 2019-11-26 S. J. Whalen

We present a formula to evaluate the spontaneous emission spectra of an atom in contact with a radiation field with non-Markovian effects. This formula is written in terms of a two-time correlation of system observables and the…

量子物理 · 物理学 2017-08-17 Ines de Vega , Daniel Alonso

Non-Markovianity, as an important feature of general open quantum systems, is usually difficult to quantify with limited knowledge of how the plant that we are interested in interacts with its environment-the bath. It often happens that the…

量子物理 · 物理学 2011-11-28 Huan Yang , Haixing Miao , Yanbei Chen

The fully quantized model of double qubits coupled to a common bath is solved using the quantum state diffusion (QSD) approach in the non-Markovian regime. We have established the explicit time-local non-Markovian QSD equations for the…

量子物理 · 物理学 2016-06-30 Brittany Corn , Jun Jing , Ting Yu

Manipulating the dynamics of open quantum systems is a crucial requirement for large-scale quantum computers. Finding ways to overcome or extend decoherence times is a challenging task. Already at the level of a single two-level atom, its…

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

量子物理 · 物理学 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac

By extending the response function approach developed in nonlinear optics, we analytically derive an expression for the non-Markovianity [Laine, et al, Phys. Rev. A 81, 062115 (2010)] in the time evolution of a system in contact with a…

量子物理 · 物理学 2015-04-16 Arend G. Dijkstra , Yoshitaka Tanimura

We derived quantum trajectories for a system interacting with the environment prepared in a continuous mode single photon state as the limit of discrete filtering model with an environment defined as series of independent qubits prepared…

量子物理 · 物理学 2020-02-11 Anita Dabrowska , Gniewomir Sarbicki , Dariusz Chruscinski

Quantum feedback can stabilize a two-level atom against decoherence (spontaneous emission), putting it into an arbitrary (specified) pure state. This requires perfect homodyne detection of the atomic emission, and instantaneous feedback.…

量子物理 · 物理学 2009-11-06 Jin Wang , H. M. Wiseman , G. J. Milburn

Quantum trajectories describe the stochastic evolution of an open quantum system conditioned on continuous monitoring of its output, such as by an ideal photodetector. Here we derive (non-Markovian) quantum trajectories for realistic…

量子物理 · 物理学 2009-11-07 P. Warszawski , H. M. Wiseman , H. Mabuchi

We construct a general measure for the degree of non-Markovian behavior in open quantum systems. This measure is based on the trace distance which quantifies the distinguishability of quantum states. It represents a functional of the…

量子物理 · 物理学 2010-01-05 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo

Embedding non-Markovian open quantum dynamics into an enlarged Markovian space offers a powerful route to nonperturbative simulations, where the dynamics of the extended space can be governed by multiple distinct Markovian equations. We…

量子物理 · 物理学 2026-02-26 Meng Xu , J. T. Stockburger , J. Ankerhold

The non-Markovianity is a recently proposed characterization of the non-Markovian behavior in an open quantum system, based on which we first present a practical idea for directly measuring the non-Markovian character of a single qubit…

量子物理 · 物理学 2010-04-27 Z. Y. Xu , W. L. Yang , M. Feng
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