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The speed of evolution between perfectly distinguishable states is thoroughly analyzed in a closed three-level (qutrit) quantum system. Considering an evolution under an arbitrary time-independent Hamiltonian, we fully characterize the…

Quantum Physics · Physics 2025-10-10 Jesica Espino-González , Francisco J. Sevilla , Andrea Valdés-Hernández

The quantum speed limit sets a bound on the minimum time required for a quantum system to evolve between two states. For open quantum systems this quantity depends on the dynamical map describing the time evolution in presence of the…

Quantum Physics · Physics 2020-09-11 Jose Teittinen , Henri Lyyra , Sabrina Maniscalco

Quantum speed limit (QSL) for open quantum systems in the non-Markovian regime is analyzed. We provide a the lower bound for the time required to transform an initial state to a final state in terms of thermodynamic quantities such as the…

Quantum Physics · Physics 2021-10-11 Arpan Das , Anindita Bera , Sagnik Chakraborty , Dariusz Chruściński

Quantum theory sets a limit on the minimum time required to transform from an initial state to a target state. It is known as quantum speed limit time. quantum speed limit time can be used to determine the rate of quantum evolution for…

Quantum Physics · Physics 2020-12-01 Soroush Haseli , Hazhir Dolatkhah , Shahriar Salimi

Starting from a geometric perspective, we derive a quantum speed limit for arbitrary open quantum evolution, which could be Markovian or non-Markovian, providing a fundamental bound on the time taken for the most general quantum dynamics.…

Quantum Physics · Physics 2019-08-07 Francesco Campaioli , Felix A. Pollock , Kavan Modi

We investigate the generic bound on the minimal evolution time of the open dynamical quantum system. This quantum speed limit time is applicable to both mixed and pure initial states. We then apply this result to the damped Jaynes-Cummings…

Quantum Physics · Physics 2014-05-05 Yingjie Zhang , Wei Han , Yunjie Xia , Junpeng Cao , Heng Fan

We theoretically study the quantum speed limit of a single atom trapped in a Fabry-Perot microresonator. The cavity mode will be squeezed when a driving laser is applied to the second-order nonlinear medium, and the effective Hamiltonian…

Quantum Physics · Physics 2023-10-25 Ya-Jie Ma , Xue-Chen Gao , Shao-Xiong Wu , Chang-shui Yu

Bounds to the speed of evolution of a quantum system are of fundamental interest in quantum metrology, quantum chemical dynamics and quantum computation. We derive a time-energy uncertainty relation for open quantum systems undergoing a…

Quantum Physics · Physics 2013-03-05 A. del Campo , I. L. Egusquiza , M. B. Plenio , S. F. Huelga

The generic bound of quantum speed limit time (the minimal evolution time) for a qubit system interacting with structural environment is investigated. We define a new bound for the quantum speed limit. It is shown that the non-Markovianity…

Quantum Physics · Physics 2015-09-23 Shao-xiong Wu , Yang Zhang , Chang-shui Yu , He-shan Song

We derive a sharp bound as the quantum speed limit (QSL) for the minimal evolution time of quantum open systems in the non-Markovian strong-coupling regime with initial mixed states by considering the effects of both renormalized…

Quantum Physics · Physics 2022-02-07 Xiangyi Meng , Chengjun Wu , Hong Guo

In this work, we study quantum evolution of an open moving-qubit modulated by a classical driving field. We obtain the density operator of qubit at zero temperature and analyze its quantum evolution dynamics by using quantum speed limit…

Quantum Physics · Physics 2023-02-07 Qilin Wang , Jianhe Yang , Rongfang Liu , Hong-Mei Zou , Ali Mortezapour , Dan Long , Jia Wang , Qianqian Ma

The space of density matrices is embedded in a Euclidean space to deduce the dynamical equation satisfied by the state of an open quantum system. The Euclidean norm is used to obtain an explicit expression for the speed of the evolution of…

Quantum Physics · Physics 2019-12-04 Dorje C Brody , Bradley Longstaff

We study the non-Markovianity and quantum speedup of a two-level atom (quantum system of interest) in a dissipative Jaynes-Cumming model, where the atom is embedded in a single-mode cavity, which is leaky being coupled to an external…

Quantum Physics · Physics 2020-07-21 Hong-Mei Zou , Rongfang Liu , Dan Long , Jianhe Yang , Danping Lin

One often needs to estimate how fast an evolving state of a quantum system can depart from some target state or target subspace of a Hilbert space. Such estimates are known as quantum speed limits. We derive a quantum speed limit for a…

Quantum Physics · Physics 2021-08-04 N. Il`in , O. Lychkovskiy

In the Schr{\"o}dinger picture, the state of a quantum system evolves in time and the quantum speed limit describes how fast the state of a quantum system evolves from an initial state to a final state. However, in the Heisenberg picture…

Quantum Physics · Physics 2022-12-07 Brij Mohan , Arun Kumar Pati

We derive a new quantum speed limit (QSL) for open quantum systems governed by Markovian dynamics. By analyzing the time derivative of the Bures angle between the initial pure state and its time-evolved state, we obtain an analytically…

Quantum Physics · Physics 2025-07-04 Kohei Kobayashi

Quantum mechanics dictates bounds for the minimal evolution time between predetermined initial and final states. Several of these Quantum Speed Limit (QSL) bounds were derived for non-unitary dynamics using different approaches. Here, we…

Quantum Physics · Physics 2016-11-30 Nicolás Mirkin , Fabricio Toscano , Diego A. Wisniacki

We prove fundamental rigorous bounds on the speed of quantum evolution for a quantum system coupled to a thermal bath. The bounds are formulated in terms of expectation values of few-body observables derived from the system-bath…

Quantum Physics · Physics 2024-08-20 N. Il'in , A. Aristova , O. Lychkovskiy

We investigate the quantum-mechanical time-evolution speed limit for neutral $K$ and $B$ mesons, both single as well as correlated, within the framework of open quantum systems. The role of coherence--mixing, a crucial feature of the open…

High Energy Physics - Phenomenology · Physics 2023-08-07 Subhashish Banerjee , K. G. Paulson

Master equations are commonly used to describe time evolution of open systems. We introduce a general method for calculating a Markovian solution of the Nakajima-Zwanzig generalized master equation. We do so for a time dependent transport…

Mesoscale and Nanoscale Physics · Physics 2018-03-08 Thorsteinn H. Jonsson , Andrei Manolescu , Hsi-Sheng Goan , Nzar Rauf Abdullah , Anna Sitek , Chi-Shung Tang , Vidar Gudmundsson
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