Driven dissipative dynamics and topology of quantum impurity systems

Le Hur, Karyn; Henriet, Loïc; Herviou, Loïc; Plekhanov, Kirill; Petrescu, Alexandru; Goren, Tal; Schiro, Marco; Mora, Christophe; Orth, Peter P.

doi:10.1016/j.crhy.2018.04.003

Title: Driven dissipative dynamics and topology of quantum impurity systems

Journal Article · Mon May 28 00:00:00 EDT 2018 · Comptes Rendus. Physique

DOI:https://doi.org/10.1016/j.crhy.2018.04.003· OSTI ID:1439266

Le Hur, Karyn; Henriet, Loïc; Herviou, Loïc; Plekhanov, Kirill; Petrescu, Alexandru; Goren, Tal; Schiro, Marco; Mora, Christophe; Orth, Peter P.

In this review, we provide an introduction to and an overview of some more recent advances in real-time dynamics of quantum impurity models and their realizations in quantum devices. We focus on the Ohmic spin–boson and related models, which describe a single spin-1/2 coupled with an infinite collection of harmonic oscillators. The topics are largely drawn from our efforts over the past years, but we also present a few novel results. In the first part of this review, we begin with a pedagogical introduction to the real-time dynamics of a dissipative spin at both high and low temperatures. We then focus on the driven dynamics in the quantum regime beyond the limit of weak spin–bath coupling. In these situations, the non-perturbative stochastic Schrödinger equation method is ideally suited to numerically obtain the spin dynamics as it can incorporate bias fields h_z(t) of arbitrary time-dependence in the Hamiltonian. We present different recent applications of this method: (i) how topological properties of the spin such as the Berry curvature and the Chern number can be measured dynamically, and how dissipation affects the topology and the measurement protocol, (ii) how quantum spin chains can experience synchronization dynamics via coupling with a common bath. In the second part of this review, we discuss quantum engineering of spin–boson and related models in circuit quantum electrodynamics (cQED), quantum electrical circuits, and cold-atoms architectures. In different realizations, the Ohmic environment can be represented by a long (microwave) transmission line, a Luttinger liquid, a one-dimensional Bose–Einstein condensate or a chain of superconducting Josephson junctions. We show that the quantum impurity can be used as a quantum sensor to detect properties of a bath at minimal coupling, and how dissipative spin dynamics can lead to new insight in the Mott–superfluid transition.

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Research Organization:: Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-08ER46541

OSTI ID:: 1439266

Alternate ID(s):: OSTI ID: 1507094

Journal Information:: Comptes Rendus. Physique, Journal Name: Comptes Rendus. Physique Vol. 19 Journal Issue: 6; ISSN 1878-1535

Publisher:: Cellule MathDoc/CEDRAMCopyright Statement

Country of Publication:: France

Language:: English

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Cited by: 26 works

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Journal Article · Tue Jan 28 00:00:00 EST 2014 · Journal of Applied Physics · OSTI ID:1439266

Wu, Wei; Xu, Jing-Bo

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Quantum impurity model dynamics
Synchronization and spin topology
Light–matter and hybrid systems
Majorana quantum impurity models
Quantum materials
Quantum state engineering

Title: Driven dissipative dynamics and topology of quantum impurity systems

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