Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach

Goan, H., Milburn, G. J., Sun, H. and Wiseman, H. M. (2001) Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach. Physical Review B: Condensed Matter and Materials Physics, 63 12: 125326-125337. doi:10.1103/PhysRevB.63.125326

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Author Goan, H.
Milburn, G. J.
Sun, H.
Wiseman, H. M.
Title Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach
Journal name Physical Review B: Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1098-0121
1095-3795
Publication date 2001-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevB.63.125326
Open Access Status File (Publisher version)
Volume 63
Issue 12
Start page 125326
End page 125337
Total pages 12
Editor P. D. Adams
Place of publication Maryland, USA
Publisher American Physical Society
Collection year 2001
Language eng
Subject C1
780102 Physical sciences
240201 Theoretical Physics
Abstract We obtain the finite-temperature unconditional master equation of the density matrix for two coupled quantum dots (CQD's) when one dot is subjected to a measurement of its electron occupation number using a point contact (PC). To determine how the CQD system state depends on the actual current through the PC device, we use the so-called quantum trajectory method to derive the zero-temperature conditional master equation. We first treat the electron tunneling through the PC barrier as a classical stochastic point process (a quantum-jump model). Then we show explicitly that our results can be extended to the quantum-diffusive limit when the average electron tunneling rate is very large compared to the extra change of the tunneling rate due to the presence of the electron in the dot closer to the PC. We find that in both quantum-jump and quantum-diffusive cases, the conditional dynamics of the CQD system can be described by the stochastic Schrodinger equations for its conditioned state vector if and only if the information carried away from the CQD system by the PC reservoirs can be recovered by the perfect detection of the measurements.
Keyword Physics, Condensed Matter
State Diffusion
Open-systems
Computation
Junctions
Detector
Noise
Optics
Jump
Quantum dots
Quantum interference phenomena
Tunnelling
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Created: Wed, 15 Aug 2007, 01:46:18 EST