Driven dissipative dynamics and topology of quantum impurity systems - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

## Dynamique Dissipative et Topologie dans des Systèmes d’impuretés quantiques

Karyn Le Hur
Loïc Henriet
• Function : Author
Loïc Herviou
• Function : Author
• PersonId : 1021271
Kirill Plekhanov
Tal Goren
• Function : Author
Marco Schiró
Christophe Mora
• Function : Author
• PersonId : 849705
Peter P. Orth
• Function : Author

#### Abstract

In this review, we provide an introduction and overview to 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 describes a single spin-1/2 coupled to 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 Schroedinger 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 to 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, 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.

#### Domains

Physics [physics]

### Dates and versions

cea-01729618 , version 1 (12-03-2018)

### Identifiers

• HAL Id : cea-01729618 , version 1

### Cite

Karyn Le Hur, Loïc Henriet, Loïc Herviou, Kirill Plekhanov, Alexandru Petrescu, et al.. Driven dissipative dynamics and topology of quantum impurity systems. 2018. ⟨cea-01729618⟩

### Export

BibTeX TEI Dublin Core DC Terms EndNote Datacite

380 View