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A quantum control landscape is defined as the observable as a function(al) of the system control variables. Such landscapes were introduced to provide a basis to understand the increasing number of successful experiments controlling quantum…

Quantum Physics · Physics 2009-05-04 Rebing Wu , Alexander Pechen , Herschel Rabitz , Michael Hsieh , Benjamin Tsou

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

Quantum Physics · Physics 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

Every open-system dynamics can be associated to infinitely many stochastic pictures, called unravelings, which have proved to be extremely useful in several contexts, both from the conceptual and the practical point of view. Here, focusing…

Quantum Physics · Physics 2022-10-19 Dariusz Chruściński , Kimmo Luoma , Jyrki Piilo , Andrea Smirne

The traditional scheme for realizing open-system quantum dynamics takes the initial state of the system-bath composite as a simple product. Currently, however, the issue of system-bath initial correlations possibly affecting the reduced…

Quantum Physics · Physics 2013-04-19 Krishna Kumar Sabapathy , J. Solomon Ivan , Sibasish Ghosh , R. Simon

Correlations between different partitions of quantum systems play a central role in a variety of many-body quantum systems, and they have been studied exhaustively in experimental and theoretical research. Here, we investigate dynamical…

Life can be viewed as a localized chemical system that sits on, or in the basin of attraction of, a metastable dynamical attractor state that remains out of equilibrium with the environment. Such a view of life allows that new living states…

Populations and Evolution · Quantitative Biology 2018-01-08 David A. Baum

We derive a new \emph{regular} dynamical system on a 3-dimensional \emph{compact} state space describing linear scalar perturbations of spatially flat Robertson-Walker geometries for relativistic models with a minimally coupled scalar field…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Artur Alho , Claes Uggla , John Wainwright

We study a class of quantum dynamical maps for d-level systems that interpolate between positive, Schwarz, and completely positive evolutions. Our approach is based on a geometric analysis of the parameter space, which reveals the structure…

Quantum Physics · Physics 2026-04-23 Dariusz Chruściński , Farrukh Mukhamedov

We consider Markovian open quantum dynamics with weak unitary symmetries. Starting from the quantum master equation for the system alone, it is known that the joint dynamics of the system and its environment can be obtained by dilation,…

Quantum Physics · Physics 2025-06-25 Calum A. Brown , Robert L. Jack , Katarzyna Macieszczak

We propose a protocol to simulate the evolution of a non-Markovian open quantum system by considering a collisional process with a many-body system, which plays the role of an environment. As a result of our protocol the environment spatial…

Quantum Physics · Physics 2017-12-18 Eduardo Mascarenhas , Ines de Vega

We consider to treat the usual probabilistic cloning, state separation, unambiguous state discrimination, \emph{etc} in a uniform framework. All these transformations can be regarded as special examples of generalized completely positive…

Quantum Physics · Physics 2009-11-13 Xiang-Fa Zhou , Qing Lin , Yong-Sheng Zhang , Guang-Can Guo

We show that when a quantum system is coupled to an environment in a mean field way, then its effective dynamics is governed by a unitary group with a time-dependent Hamiltonian. The time-dependent modification of the bare system…

Quantum Physics · Physics 2024-09-25 Michele Fantechi , Marco Merkli

As one of the most striking features of quantum mechanics, quantum correlations are at the heart of quantum information science. Detection of correlations usually requires access to all the correlated subsystems. However, in many realistic…

Quantum Physics · Physics 2014-08-12 M. Gessner , M. Ramm , T. Pruttivarasin , A. Buchleitner , H. -P. Breuer , H. Haeffner

We analyse the role played by system-environment correlations in the emergence of non-Markovian dynamics. By working within the framework developed in Breuer et al., Phys. Rev. Lett. 103, 210401 (2009), we unveil a fundamental connection…

Quantum Physics · Physics 2012-08-01 Laura Mazzola , Cesar A. Rodrıguez-Rosario , Kavan Modi , Mauro Paternostro

Spatial pattern formation is a key feature of many natural systems in physics, chemistry and biology. The essential theoretical issue in understanding pattern formation is to explain how a spatially homogeneous initial state can undergo…

Pattern Formation and Solitons · Physics 2015-06-04 Timothy Killingback , Gregory Loftus , Bala Sundaram

The evolution of a composite closed system using the integral wave equation with the kernel in the form of path integral is considered. It is supposed that a quantum particle is a subsystem of this system. The evolution of the reduced…

Quantum Physics · Physics 2017-08-30 A. Yu. Samarin

We consider a bipartite quantum system S=AB such that the part A is isolated from the environment E and only the part B interacts with E. Under such circumstances, entanglement of the system may experience decreases and increases, during…

Quantum Physics · Physics 2018-02-26 Iman Sargolzahi , Sayyed Yahya Mirafzali

We present a simple physical model that recapitulates several features of biological evolution, while being based only on thermally-driven attachment and detachment of elementary building blocks. Through its dynamics, this model samples a…

Populations and Evolution · Quantitative Biology 2025-07-11 Guy Bunin , Olivier Rivoire

A Markov approximation in open quantum dynamics can give unphysical results when a map acts on a state that is not in its domain. This is examined here in a simple example, an open quantum dynamics for one qubit in a system of two…

Quantum Physics · Physics 2008-01-23 Thomas F. Jordan , Anil Shaji , E. C. G. Sudarshan

By modeling the interaction of an open quantum system with its environment through a natural generalization of the classical concept of continuous time random walk, we derive and characterize a class of non-Markovian master equations whose…

Quantum Physics · Physics 2018-01-31 Adrián A. Budini