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

By H. Goan, Gerard J. Milburn, Howard M. Wiseman, H. Technology, D. Physics, The University of Queensland, Brisbane, Australia. School of Science, Griffith University, Nathan and 1 more. 2000

138 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/26b819896cd470ae29e6e929165a621f84c3d280

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Introduction to quantum noise, measurement, and amplification (2008, background): “The application of these ideas has only recently been explored in condensed matter contexts (Bernád et al., 2008; Goan and Milburn, 2001; Goan et al., 2001; Korotkov, 1999, 2001b; Oxtoby et al., 2008, 2006).”