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Title: Competing interactions in semiconductor quantum dots

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [1];  [1];  [2];  [1];  [1]
  1. Univ. of Amsterdam, Amsterdam (The Netherlands)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
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In this study, we introduce an integrability-based method enabling the study of semiconductor quantum dot models incorporating both the full hyperfine interaction as well as a mean-field treatment of dipole-dipole interactions in the nuclear spin bath. By performing free induction decay and spin echo simulations we characterize the combined effect of both types of interactions on the decoherence of the electron spin, for external fields ranging from low to high values. We show that for spin echo simulations the hyperfine interaction is the dominant source of decoherence at short times for low fields, and competes with the dipole-dipole interactions at longer times. On the contrary, at high fields the main source of decay is due to the dipole-dipole interactions. In the latter regime an asymmetry in the echo is observed. Furthermore, the non-decaying fraction previously observed for zero field free induction decay simulations in quantum dots with only hyperfine interactions, is destroyed for longer times by the mean-field treatment of the dipolar interactions.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-98CH10886
OSTI ID:
1182476
Alternate ID(s):
OSTI ID: 1180031
Report Number(s):
BNL-107234-2014-JA; BNL-107234-2014-JAAM; PRBMDO; R&D Project: PO015; KC0202030
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 90, Issue 15; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (41)

Spin decoherence due to a randomly fluctuating spin bath journal August 2013
Exponential decay in a spin bath journal March 2008
Spin Echoes journal November 1950
Theory of nuclear-induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots journal September 2003
Renormalization Group for Treating 2D Coupled Arrays of Continuum 1D Systems journal March 2009
Conservation laws protect dynamic spin correlations from decay: Limited role of integrability in the central spin model journal August 2014
Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics journal November 2004
Constructing the Generalized Gibbs Ensemble after a Quantum Quench journal October 2012
Pure quantum dephasing of a solid-state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions journal June 2009
Universal scaling of hyperfine-induced electron spin echo decay journal June 2005
Free-induction decay and envelope modulations in a narrowed nuclear spin bath journal April 2010
Spin echo decay at low magnetic fields in a nuclear spin bath journal July 2010
Spectrum and screening cloud in the central spin model journal January 2010
Electron Spin Decoherence in Quantum Dots due to Interaction with Nuclei journal April 2002
Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose Einstein condensates and metallic nanograins journal April 2003
Nonperturbative Master Equation Solution of Central Spin Dephasing Dynamics journal October 2012
Qubit coherence control in a nuclear spin bath journal July 2005
Nuclear spin physics in quantum dots: An optical investigation journal January 2013
Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei journal December 2003
Gaudin models solver based on the correspondence between Bethe ansatz and ordinary differential equations journal June 2011
Nuclear spins as quantum memory in semiconductor nanostructures journal July 2007
Single-electron spin decoherence by nuclear spin bath: Linked-cluster expansion approach journal March 2007
Quantum theory of spectral-diffusion-induced electron spin decoherence journal October 2005
Theory of electron spin decoherence by interacting nuclear spins in a quantum dot journal November 2006
Spin decay and quantum parallelism journal December 2002
Diagonalisation d'une classe d'hamiltoniens de spin journal January 1976
Theory of the electron and nuclear spin coherence times of shallow donor spin qubits in isotopically and chemically purified zinc oxide journal November 2009
Integrability-Based Analysis of the Hyperfine-Interaction-Induced Decoherence in Quantum Dots journal January 2013
Dynamics and decoherence in the central spin model using exact methods journal October 2010
Electron spin relaxation by nuclei in semiconductor quantum dots journal April 2002
Electron spin coherence in semiconductors:  Considerations for a spin-based solid-state quantum computer architecture journal January 2003
Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath journal February 2009
Electron Spin Decoherence in Isotope-Enriched Silicon journal October 2010
Spin noise in the anisotropic central spin model journal January 2014
Numerical Renormalization Group for Continuum One-Dimensional Systems journal April 2007
Calculation of scalar products of wave functions and form factors in the framework of the alcebraic Bethe ansatz journal May 1989
Dynamics and decoherence in the central spin model in the low-field limit journal October 2013
Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment journal July 2006
Evolution of localized electron spin in a nuclear spin environment journal November 2004
Decay of Rabi Oscillations by Dipolar-Coupled Dynamical Spin Environments journal June 2009
Non-integrable quantum field theories as perturbations of certain integrable models journal August 1996

Cited By (5)

Quantum model for mode locking in pulsed semiconductor quantum dots journal December 2016
Integrable spin-${\frac{1}{2}}$ Richardson–Gaudin XYZ models in an arbitrary magnetic field journal January 2019
Eigenvalue-based method and form-factor determinant representations for integrable XXZ Richardson-Gaudin models journal April 2015
Quantum model for mode locking in pulsed semiconductor quantum dots text January 2016
Integrable spin-1/2 Richardson-Gaudin XYZ models in an arbitrary magnetic field text January 2018

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