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Title: Driven dissipative dynamics and topology of quantum impurity systems

Abstract

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 commonmore » 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.« less

Authors:
 [1];  [2];  [3];  [4];  [5];  [1];  [6];  [7];  [8]
  1. Ecole Polytechnique, Palaiseau (France)
  2. Barcelona Institute of Science and Technology (BIST), Barcelona (Spain)
  3. Ecole Polytechnique, Palaiseau (France); Univ. Pierre et Marie Curie, Paris (France)
  4. Ecole Polytechnique, Palaiseau (France); Univ. Paris-Sud, Orsay (France)
  5. Princeton Univ., Princeton, NJ (United States)
  6. Univ. Paris-Saclay, Gif-sur-Yvette (France)
  7. Univ. Pierre et Marie Curie, Paris (France)
  8. Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1439266
Alternate Identifier(s):
OSTI ID: 1507094
Grant/Contract Number:  
FG02-08ER46541
Resource Type:
Published Article
Journal Name:
Comptes Rendus. Physique
Additional Journal Information:
Journal Volume: 19; Journal Issue: 6; Journal ID: ISSN 1631-0705
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Le Hur, Karyn, Henriet, Loïc, Herviou, Loïc, Plekhanov, Kirill, Petrescu, Alexandru, Goren, Tal, Schiro, Marco, Mora, Christophe, and Orth, Peter P. Driven dissipative dynamics and topology of quantum impurity systems. United States: N. p., 2018. Web. doi:10.1016/j.crhy.2018.04.003.
Le Hur, Karyn, Henriet, Loïc, Herviou, Loïc, Plekhanov, Kirill, Petrescu, Alexandru, Goren, Tal, Schiro, Marco, Mora, Christophe, & Orth, Peter P. Driven dissipative dynamics and topology of quantum impurity systems. United States. doi:10.1016/j.crhy.2018.04.003.
Le Hur, Karyn, Henriet, Loïc, Herviou, Loïc, Plekhanov, Kirill, Petrescu, Alexandru, Goren, Tal, Schiro, Marco, Mora, Christophe, and Orth, Peter P. Mon . "Driven dissipative dynamics and topology of quantum impurity systems". United States. doi:10.1016/j.crhy.2018.04.003.
@article{osti_1439266,
title = {Driven dissipative dynamics and topology of quantum impurity systems},
author = {Le Hur, Karyn and Henriet, Loïc and Herviou, Loïc and Plekhanov, Kirill and Petrescu, Alexandru and Goren, Tal and Schiro, Marco and Mora, Christophe and Orth, Peter P.},
abstractNote = {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 hz(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.},
doi = {10.1016/j.crhy.2018.04.003},
journal = {Comptes Rendus. Physique},
number = 6,
volume = 19,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.crhy.2018.04.003

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