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Bulletin of the American Physical Society

Quantum Phase Transition in Quadruple Quantum Dots

Dong E. Liu, Shailesh Chandrasekharan A, Harold U. Baranger

Published Mar 17, 2010• 0 citations
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Storage and retrieval of light pulse propagating in quadruple quantum dot molecules

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The tunneling-induced optical properties in weak probe pulse propagation are investigated through a quadruple quantum dot (QQD) molecule composed of a center dot and three satellite dots. The dynamic control of pulse propagation is addressed by solving the Maxwell–Bloch equations for the QQD medium and field simultaneously in space and time. It is found that by properly adjusting the system parameters, an absorptive case for the probe pulse can be switched to a case in which the light pulse propagates without significant absorption for quite a long propagation distance. An analytical solution is presented to comprehend such a controllable switch. Finally, it is shown that it is possible to store and retrieve the probe pulse in such a QQD system through adiabatically varying the tunneling couplings. The proposed scheme may provide a guideline to develop a new type of optical storage device.

Journal of the Optical Society of America B•Jan 6, 2016•14 citations
We propose a system of four quantum dots designed to study the competition between three types of interactions: Heisenberg, Kondo, and Ising. We find a rich phase diagram containing two sharp features: a quantum phase transition (QPT) between charge-ordered and charge-liquid phases and a dramatic resonance in the charge liquid visible in the conductance. The QPT is of the Kosterlitz-Thouless type with a discontinuous jump in the conductance at the transition. We connect the resonance phenomenon with the degeneracy of three levels in the isolated quadruple dot and argue that this leads to a Kondo-like emergent symmetry from left-right Z2 to U(1).
The tunneling-induced optical properties in weak probe pulse propagation are investigated through a quadruple quantum dot (QQD) molecule composed of a center dot and three satellite dots. The dynamic control of pulse propagation is addressed by solving the Maxwell–Bloch equations for the QQD medium and field simultaneously in space and time. It is found that by properly adjusting the system parameters, an absorptive case for the probe pulse can be switched to a case in which the light pulse propagates without significant absorption for quite a long propagation distance. An analytical solution is presented to comprehend such a controllable switch. Finally, it is shown that it is possible to store and retrieve the probe pulse in such a QQD system through adiabatically varying the tunneling couplings. The proposed scheme may provide a guideline to develop a new type of optical storage device.