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We study discrete time crystals (DTCs) in periodically driven quantum systems, in the presence of non-Markovian dissipation. In contrast to DTCs observed in earlier works in the presence of Markovian dynamics, using the open Dicke model in…

Quantum Physics · Physics 2024-07-24 Bandita Das , Noufal Jaseem , Victor Mukherjee

For open systems derived from quadratic total Hamiltonians, we derive a dynamic fluctuation-dissipation (FD) inequality valid for any total initial state and without regard to the sign of the dissipation. With the added constraint that this…

Quantum Physics · Physics 2013-09-24 Allan Tameshtit

A scheme to implement a quantum computer subjected to decoherence and governed by an untunable qubit-qubit interaction is presented. By concatenating dynamical decoupling through bang-bang (BB) pulse with decoherence-free subspaces (DFSs)…

Quantum Physics · Physics 2007-05-23 Yong Zhang , Zheng-Wei Zhou , Bo Yu , Guang-Can Guo

The steady states of dynamical processes can exhibit stable nontrivial phases, which can also serve as fault-tolerant classical or quantum memories. For Markovian quantum (classical) dynamics, these steady states are extremal eigenvectors…

Quantum Physics · Physics 2024-02-13 Tibor Rakovszky , Sarang Gopalakrishnan , Curt von Keyserlingk

The interplay between dissipation and correlation can lead to novel emergent phenomena in open systems. Here we investigate ``steady-state topological order'' defined by the robust topological degeneracy of steady states, which is a…

Quantum Physics · Physics 2026-05-27 Zijian Wang , Xu-Dong Dai , He-Ran Wang , Zhong Wang

An interaction free evolving state of a closed bipartite system composed of two interacting subsystems is a generally mixed state evolving as if the interaction were a c-number. In this paper we find the characteristic equation of states…

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

We investigate the dressed bound states (DBS) in an open cavity with a whispering-gallery-mode microring coupled to a two-level atom and a waveguide with a mirror at the right end. We demonstrate that the non-Hermiticity of an open cavity…

Optics · Physics 2025-04-15 J. Y. Sun , C. Cui , Y. F. Li , Shuang Xu , Cheng Shang , Yan-Hui Zhou , H. Z. Shen

We analyze the non-Markovian character of the dynamics of an open two-level atom interacting with a gas of ultra-cold fermions. In particular, we discuss the connection between the phenomena of orthogonality catastrophe and Fermi edge…

Quantum Physics · Physics 2013-11-11 F. Plastina , A. Sindona , J. Goold , N. Lo Gullo , S. Lorenzo

The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra is established providing a naturaldecomposition of a Markovian open quantum system into its noiseless (decoherence-free) and irreducible…

Mathematical Physics · Physics 2016-06-29 Julien Deschamps , Franco Fagnola , Emanuela Sasso , Veronica Umanita'

The conditions under which quantum-classical Liouville dynamics may be reduced to a master equation are investigated. Systems that can be partitioned into a quantum-classical subsystem interacting with a classical bath are considered.…

Statistical Mechanics · Physics 2015-06-25 Robbie Grunwald , Raymond Kapral

We introduce auxiliary quantum master equation - dual fermion approach (QME-DF) and argue that it presents a convenient way to describe steady-states of correlated impurity systems. The combined scheme yields an expansion around a reference…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Feng Chen , Guy Cohen , Michael Galperin

Decoherence-free subsystems have been successfully developed as a tool to preserve fragile quantum information against noises. In this letter, we develop a structure theory for decoherence-free subsystems. Based on it, we present an…

Quantum Physics · Physics 2018-02-15 Ji Guan , Yuan Feng , Mingsheng Ying

The meaning of time in an open quantum system is considered under the assumption that both, system and environment, are quantum mechanical objects. The Hamilton operator of the system is non-Hermitian. Its imaginary part is the time…

Quantum Physics · Physics 2012-06-11 Ingrid Rotter

Dynamic structure factor (DSF) is important for understanding excitations in many-body physics; it reveals information about the spectral and spatial correlations of fluctuations in quantum systems. Collective phenomena like quantum phase…

Quantum Gases · Physics 2025-06-12 Subhanka Mal , Anushree Dey , Kingshuk Adikary , Bimalendu Deb

Positivity preservation is naturally guaranteed in exact non-Markovian master equations for open quantum system dynamics. However, in many approximated non-Markovian master equations, the positivity of the reduced density matrix is not…

Quantum Physics · Physics 2024-02-08 Wufu Shi , Yusui Chen , Quanzhen Ding , Jin Wang , Ting Yu

We consider a system of two indistinguishable fermions (with four accessible states each) that suffers decoherence without dissipation due to its coupling with a global bosonic bath at a fixed temperature. Using an appropriate measure of…

Quantum Physics · Physics 2025-05-23 E. Salinas , A. P. Majtey , A. Valdés-Hernández

This paper treats the global stabilization problem of continuous-time switched affine systems that have rank-deficient convex combinations of their dynamic matrices. For these systems, the already known set of attainable equilibrium points…

Optimization and Control · Mathematics 2022-04-15 Lucas N. Egidio , Grace S. Deaecto , Raphaël M. Jungers

In the context of closed quantum systems, when a system prepared in its ground state undergoes a sudden quench, the resulting Loschmidt echo can exhibit zeros, resembling the Fisher zeros in the theory of classical equilibrium phase…

This paper focuses on time-varying delayed stochastic differential systems with stochastically switching parameters formulated by a unified switching behavior combining a discrete adapted process and a Cox process. Unlike prior studies…

Dynamical Systems · Mathematics 2024-01-30 Xinyu Wu , Zidong Wang , Wenlian Lu
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