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An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation…

量子物理 · 物理学 2009-11-10 Rui-Xue Xu , Ping Cui , Xin-Qi Li , Yan Mo , YiJing Yan

The methodology of stochastic description for dissipation, a generic scheme to decouple the interaction between two subsystems, is applied to the study of dissipative dynamics in quantum optics. It is shown that the influence of the coupled…

量子物理 · 物理学 2012-05-22 Haifeng Li , Jiushu Shao

We analyze the Gaussian approximation as a method to obtain the first and second moments of a stochastic process described by a master equation. We justify the use of this approximation with ideas coming from van Kampen's expansion approach…

统计力学 · 物理学 2015-05-18 Luis F. Lafuerza , Raul Toral

The hierarchical equations of motion theory for Drude dissipation is optimized, with a convenient convergence criterion proposed in advance of numerical propagations. The theoretical construction is on basis of a Pad\'{e} spectrum…

量子物理 · 物理学 2011-07-04 Jin-Jin Ding , Jian Xu , Jie Hu , Rui-Xue Xu , YiJing Yan

Stochastic master equations are often used to describe conditional spin squeezing of atomic ensemble, but are limited so far to the systems with few atoms due to the exponentially increased Hilbert space. In this article, we present an…

量子物理 · 物理学 2024-02-06 ZhiQing Zhang , Yuan Zhang , HaiZhong Guo , ChongXin Shan , Gang Chen , Klaus Mølmer

The urgent need for reliable simulation tools to match the extreme accuracy needed to control tailored quantum devices highlights the importance of understanding open quantum systems and their modeling. To this end, we compare here the…

Relativistic quantum metrology provides an optimal strategy for the estimation of parameters encoded in quantum fields in flat and curved spacetime. These parameters usually correspond to physical quantities of interest such as proper…

量子物理 · 物理学 2017-05-25 Dominik Šafránek , Jan Kohlrus , David Edward Bruschi , Antony R. Lee , Ivette Fuentes

The reduced dynamics of an open quantum system obtained from an underlying microscopic Hamiltonian can in general only approximately be described by a time local master equation. The quality of that approximation depends primarily on the…

量子物理 · 物理学 2020-01-15 Richard Hartmann , Walter T. Strunz

We investigate the performance of quantum parameter estimation based on a qubit probe in a dissipative bosonic environment beyond the traditional paradigm of weak-coupling and rotating-wave approximations. By making use of an exactly…

量子物理 · 物理学 2021-10-18 Wei Wu , Chuan Shi

We propose a computationally efficient method to solve the dynamics of operators of bosonic quantum systems coupled to their environments. The method maps the operator under interest to a set of complex-valued functions, and its adjoint…

We show that the Pade Approximant (PA) approach for resummation of perturbative series in QCD provides a systematic method for approximating the flow of momentum in Feynman diagrams. In the large-$\beta_0$ limit, diagonal PA's generalize…

高能物理 - 唯象学 · 物理学 2009-09-11 Stanley J. Brodsky , John Ellis , Einan Gardi , Marek Karliner , Mark. A. Samuel

We propose a nonperturbative quantum dissipation theory, in term of hierarchical quantum master equation. It may be used with a great degree of confidence to various dynamics systems in condensed phases. The theoretical development is…

统计力学 · 物理学 2015-05-14 Rui-Xue Xu , Bao-Ling Tian , Jian Xu , Qiang Shi , YiJing Yan

We present a general master equation, correct to second order in the system-environment coupling strength, that takes into account the initial system-environment correlations. We assume that the system and its environment are in a joint…

量子物理 · 物理学 2021-10-13 Ali Raza Mirza , Muhammad Zia , Adam Zaman Chaudhry

For a bosonic (fermionic) open system in a bath with many bosons (fermions) modes, we derive the exact non-Markovian master equation in which the memory effect of the bath is reflected in the time dependent decay rates. In this approach,…

量子物理 · 物理学 2013-01-29 Li-Ping Yang , C. Y. Cai , D. Z. Xu , Wei-Min Zhang , C. P. Sun

Spin echo techniques are essential for achieving long coherence times in solid-state quantum memories for light because of inhomogeneous broadening of the spin transitions. It has been suggested that unrealistic levels of precision for the…

量子物理 · 物理学 2015-05-20 Khabat Heshami , Nicolas Sangouard , Jiri Minar , Hugues de Riedmatten , Christoph Simon

In this lecture I present some of the new developments concerning the use of Pade Approximants (PA's) for resumming perturbative series in QCD. It is shown that PA's tend to reduce the renormalization scale and scheme dependence as compared…

高能物理 - 唯象学 · 物理学 2011-04-15 Einan Gardi

This paper studies the numerical approximation of parametric time-dependent partial differential equations (PDEs) by proper orthogonal decomposition reduced order models (POD-ROMs). Although many papers in the literature consider reduced…

数值分析 · 数学 2025-04-28 Bosco García-Arcilla , Alicia García-Mascaraque , Julia Novo

We present a succinct and intuitive derivation of a formally exact master equation for general open quantum systems, without the use of an "inverse" map which was invoked in previous works on formally exact master equations. This formalism…

量子物理 · 物理学 2020-04-29 Li Yu , Eric J. Heller

Exact and nonperturbative quantum master equation can be constructed via the calculus on path integral. It results in hierarchical equations of motion for the reduced density operator. Involved are also a set of well--defined auxiliary…

统计力学 · 物理学 2015-05-13 Jian Xu , Rui-Xue Xu , YiJing Yan

Approximation algorithms for classical constraint satisfaction problems are one of the main research areas in theoretical computer science. Here we define a natural approximation version of the QMA-complete local Hamiltonian problem and…

量子物理 · 物理学 2016-10-25 Sevag Gharibian , Julia Kempe
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