Equilibration in closed quantum systems: Application to spin qubits

We study an observable-based notion of equilibration and its application to realistic systems like spin qubits in quantum dots. On the basis of the so-called distinguishability, we analytically derive general equilibration bounds, which we relate to the standard deviation of the fluctuations of the...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Hetterich, Daniel, Fuchs, Moritz, Trauzettel, Björn
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 26.10.2015
Subjects
Balancing
Electron spin
Electrons
Physics - Mesoscale and Nanoscale Physics
Quantum dots
Quantum theory
Qubits (quantum computing)
Spin dynamics
Variation
Online AccessGet full text

Cover

More Information
Summary:We study an observable-based notion of equilibration and its application to realistic systems like spin qubits in quantum dots. On the basis of the so-called distinguishability, we analytically derive general equilibration bounds, which we relate to the standard deviation of the fluctuations of the corresponding observable. Subsequently, we apply these ideas to the central spin model describing the spin physics in quantum dots. We probe our bounds by analyzing the spin dynamics induced by the hyperfine interaction between the electron spin and the nuclear spins using exact diagonalization. Interestingly, even small numbers of nuclear spins as found in carbon or silicon based quantum dots are sufficient to significantly equilibrate the electron spin.
ISSN:2331-8422
DOI:10.48550/arxiv.1506.07697