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We study the quantum dynamics of a single qubit coupled to a bath of interacting spins as a model for decoherence in solid state quantum memories. The spin bath is described by the Lipkin-Meshkov-Glick model and the bath spins are subjected…

Quantum Physics · Physics 2010-05-27 Richard Walters , Stephen R. Clark , Dieter Jaksch

A big open question in the quantum information theory concerns feasibility of a self-correcting quantum memory. A quantum state recorded in such memory can be stored reliably for a macroscopic time without need for active error correction…

Quantum Physics · Physics 2013-11-15 Sergey Bravyi , Jeongwan Haah

The information-carrying capacity of a memory is known to be a thermodynamic resource facilitating the conversion of heat to work. Szilard's engine explicates this connection through a toy example involving an energy-degenerate two-state…

Quantum Physics · Physics 2019-02-25 Varun Narasimhachar , Jayne Thompson , Jiajun Ma , Gilad Gour , Mile Gu

We relate the memory kernel in the Nakajima-Zwanzig-Mori time-convolution approach to the reduced system propagator which is often used to obtain the kernel in the Tokuyama-Mori time-convolutionless approach. The connection provides a…

Other Condensed Matter · Physics 2018-09-14 Lyran Kidon , Haobin Wang , Michael Thoss , Eran Rabani

We study the relaxation dynamics of an extended Fermi-Hubbard chain with a strong Wannier-Stark potential tilt coupled to a bath. When the system is subjected to dephasing noise, starting from a pure initial state the system's total von…

Disordered Systems and Neural Networks · Physics 2020-07-01 Ling-Na Wu , André Eckardt

In this work, we are interested in a detailed qualitative analysis of the Kawahara equation, a model that has numerous physical motivations such as magneto-acoustic waves in a cold plasma and gravity waves on the surface of a heavy liquid.…

Analysis of PDEs · Mathematics 2023-06-13 Roberto de A. Capistrano Filho , Boumediène Chentouf , Isadora Maria de Jesus

In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the post-Markovian master equation recently proposed in…

Quantum Physics · Physics 2009-11-11 Sabrina Maniscalco , Francesco Petruccione

Quantum batteries (QBs) provide a platform for exploring quantum-scale energy storage, yet most existing analyses rely on weak-coupling and Markovian approximations. In realistic implementations operating in strongly coupled non-Markovian…

Quantum Physics · Physics 2026-04-03 Zi-Yi Peng , Shun-Cai Zhao , Liang Luo , Ni-Ya Zhuang

We consider what happens when a many body localized system is coupled to a heat bath. Unlike previous works, we do not restrict ourselves to the limit where the bath is large and effectively Markovian, nor to the limit where back action on…

Disordered Systems and Neural Networks · Physics 2017-04-21 Rahul Nandkishore , Sarang Gopalakrishnan

In systems where interactions couple a central degree of freedom and a bath, one would expect signatures of the bath's phase to be reflected in the dynamics of the central degree of freedom. This has been recently explored in connection…

Disordered Systems and Neural Networks · Physics 2021-04-07 Nathan Ng , Sebastian Wenderoth , Rajagopala Reddy Seelam , Eran Rabani , Hans-Dieter Meyer , Michael Thoss , Michael Kolodrubetz

We examine what happens when a strongly many body localized system is coupled to a weak heat bath, with both system and bath containing similar numbers of degrees of freedom. Previous investigations of localized systems coupled to baths…

Statistical Mechanics · Physics 2016-01-06 Rahul Nandkishore

This Letter deals with the time evolution of a qubit weakly coupled to a reservoir which has a symmetry broken state with long range order at finite temperatures. In particular, we model the ordered reservoir by a standard BCS…

Mesoscale and Nanoscale Physics · Physics 2013-04-16 Juliana Restrepo , S. Camalet , R. Chitra

When a system thermalizes it loses all local memory of its initial conditions. This is a general feature of open systems and is well described by equilibrium statistical mechanics. Even within a closed (or reversible) quantum system, where…

We demonstrate an exact mapping of a class of models of two interacting qubits in thermal reservoirs to two separate spin-bath problems. Based on this mapping, exact numerical simulations of the qubits dynamics can be performed, beyond the…

Quantum Physics · Physics 2015-06-05 Lian-Ao Wu , Claire X. Yu , Dvira Segal

Scrambling quantum systems have attracted attention as effective substrates for temporal information processing. Here we consider a quantum reservoir processing framework that captures a broad range of physical computing models with quantum…

The transfer tensor method is a versatile tool for analyzing and propagating general open quantum systems. It captures in a compact manner all memory effects in a non-Markovian system through a straightforward transformation of a set of…

We present a formalism that explicitly unifies the commonly used Nakajima-Zwanzig approach for reduced density matrix dynamics with the more versatile Mori theory in the context of nonequilibrium dynamics. Employing a Dyson-type expansion…

Chemical Physics · Physics 2016-05-25 Andrés Montoya-Castillo , David. R. Reichman

This thesis addresses whether it is possible to build a robust memory device for quantum information. A three-dimensional gapped lattice spin model is found which demonstrates for the first time that a reliable quantum memory at finite…

Quantum Physics · Physics 2013-05-31 Jeongwan Haah

Markovian master equations (formally known as quantum dynamical semigroups) can be used to describe the evolution of a quantum state $\rho$ when in contact with a memoryless thermal bath. This approach has had much success in describing the…

Quantum Physics · Physics 2017-08-18 Álvaro M. Alhambra , Mischa P. Woods

We investigate the evolution of a target qubit caused by its multiple random collisions with $N$-qubit clusters. Depending on the cluster state, the evolution of the target qubit may correspond to its effective interaction with a thermal…