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The weak-coupled two-level open quantum system described by non-Markovian Time-convolution-less master equation is investigated in this paper. The cut-off frequency, coupling constant and transition frequency, which impact on the system's…

Quantum Physics · Physics 2014-01-08 Shuang Cong , Longzhen Hu , Fei Yang , Jianxiu Liu

The degree of non-Markovianity allows to characterizing quantum evolutions that depart from a Markovian regime in a similar way as Schmidt number measures the degree of entanglement of pure states. Maximally non-Markovian dynamics are the…

Quantum Physics · Physics 2018-06-05 Adrián A. Budini

Non-Markovian effects in the evolution of open quantum systems have recently attracted widespread interest, particularly in the context of assessing the efficiency of energy and charge transfer in nanoscale biomolecular networks and quantum…

Chemical Physics · Physics 2016-02-10 S. Oviedo-Casado , J. Prior , A. W. Chin , R. Rosenbach , S. F. Huelga , M. B. Plenio

Memory effects arise in many complex systems, from protein folding, to the spreading of epidemics and financial decisions. While so-called non-Markovian dynamics is common in larger systems with interacting components, observations in…

It is known that effects of dissipation or measurement backreaction in postselected quantum trajectories are described by non-Hermitian Hamiltonian, but their consequences in real-time dynamics of many-body systems are yet to be elucidated.…

Quantum Gases · Physics 2023-04-05 Tomoya Hayata , Yoshimasa Hidaka , Arata Yamamoto

We consider the Dicke model, describing an ensemble of $N$ quantum spins interacting with a cavity field, and study how the coupling to a non-Markovian environment with power-law spectrum changes the physics of superradiant phase…

Statistical Mechanics · Physics 2016-11-30 Orazio Scarlatella , Marco Schiró

The nonequilibrium dynamics of a small quantum system coupled to a dissipative environment is studied. We show that (1) the oscillatory dynamics close to a coherent-to-incoherent transition is surprisingly different from the one of the…

Strongly Correlated Electrons · Physics 2013-03-14 D. M. Kennes , O. Kashuba , M. Pletyukhov , H. Schoeller , V. Meden

We discuss the effect of dissipation on quantum phase transitions. In particular we concentrate on the Superconductor to Insulator and Quantum-Hall to Insulator transitions. By invoking a phenomenological parameter $\alpha$ to describe the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Aharon Kapitulnik , Nadya Mason , Steven A. Kivelson , Sudip Chakravarty

We study the interplay between forgetful and memory-keeping evolution enforced on a two-level system by a multi-spin environment whose elements are coupled to local bosonic baths. Contrarily to the expectation that any non-Markovian effect…

Quantum Physics · Physics 2013-04-02 Salvatore Lorenzo , Francesco Plastina , Mauro Paternostro

We present a method to detect quantum memory in a non-Markovian process. We call a process Markovian when the environment does not provide a memory that retains correlations across different system-environment interactions. We define two…

Quantum Physics · Physics 2021-04-28 Christina Giarmatzi , Fabio Costa

Recently remarkable progress in quantum technology has been witnessed. In view of this it is important to investigate an open quantum system as a model of such quantum devices. Quantum devices often require extreme conditions such as very…

Quantum Physics · Physics 2020-12-02 Shingo Kukita , Yasushi Kondo , Mikio Nakahara

A general procedure for studying finite-N effects in quantum phase transitions of finite systems is presented and applied to the critical-point dynamics of nuclei undergoing a shape-phase transition of second-order (continuous), and of…

Nuclear Theory · Physics 2007-05-23 A. Leviatan

The non-Markovian dynamics of quantum entanglement is studied by the Shabani-Lidar master equation when one of entangled quantum systems is coupled to a local reservoir with memory effects. The completely positive reduced dynamical map can…

Quantum Physics · Physics 2015-06-11 Xiang Hao , Jinqiao Sha , Jian Sun , Shiqun Zhu

A discrete-time method for solving problems in optimal quantum control is presented. Controlling the time discretized markovian dynamics of a quantum system can be reduced to a Markov-decision process. We demonstrate this method in this…

Quantum Physics · Physics 2012-06-05 Jon R. Grice , David A. Meyer

We present the experimental control of Non-Markovian dynamics of open quantum systems simulated with photonic entities. The polarization of light is used as the system, whereas the surrounding environment is represented by light's spatial…

We study non-Markovian dynamics of a two level atom using pseudomode method. Because of the memory effect of non-Markovian dynamics, the atom receives back information and excited energy from the reservoir at a later time, which causes more…

Quantum Physics · Physics 2017-01-27 Yuta Ohyama , Yasuhiro Tokura

Open quantum many-body systems with controllable dissipation can exhibit novel features in their dynamics and steady states. A paradigmatic example is the dissipative transverse field Ising model. It has been shown recently that the steady…

Quantum Physics · Physics 2023-12-04 Casey Haack , Naushad Ahmad Kamar , Daniel Paz , Mohammad Maghrebi , Zhexuan Gong

We study qubit-mediated energy transfer between two electron reservoirs by adopting a numerically-exact influence functional path-integral method. This non-perturbative technique allows us to study the system's dynamics beyond the weak…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 D. Segal

Quantum memory effects can be related to a bidirectional exchange of information between an open system and its environment, which in turn modifies the state and dynamical behavior of the last one. Nevertheless, non-Markovianity can also be…

Quantum Physics · Physics 2021-01-26 Adrián A. Budini

Non-Markovian quantum processes exhibit different memory effects when measured in different ways; an unambiguous characterization of memory length requires accounting for the sequence of instruments applied to probe the system dynamics.…

Quantum Physics · Physics 2019-04-11 Philip Taranto , Simon Milz , Felix A. Pollock , Kavan Modi