Journal
COMPTES RENDUS PHYSIQUE
Volume 19, Issue 6, Pages 451-483Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crhy.2018.04.003
Keywords
Quantum impurity model dynamics; Synchronization and spin topology; Light-matter and hybrid systems; Majorana quantum impurity models; Quantum materials; Quantum state engineering
Funding
- DOE [DE-FG02-08ER46541]
- National Science Foundation [NSF-DMR-0803200]
- Yale Center for Quantum Information Physics [NSF-DMR-0653377]
- German DFG Forschergruppe [FOR2414]
- EDPIF Universite Paris-Saclay
- Labex Palm Paris-Saclay [LABEX PALM : ANR-10-LABEX-0039]
- Ministry of Economy and Competitiveness of Spain through the Severo Ochoa program for Centres of Excellence [SEV-2015-0522]
- Fundacio Privada Cellex
- Fundacio Privada Mir-Puig
- Generalitat de Catalunya through the CERCA program
- Iowa State University Startup Funds
- Ecole polytechnique
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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 Schrodinger 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. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS.
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