Quantum Transport in Single and Multiple Quantum Dots

Burke

Semicond. Sci. Technol.

et al. 2011

Quantum dots provide a natural system in which to study both quantum and classical features of transport. As a closed testbed, they provide a natural system with a very rich set of eigenstates. When coupled to the environment through a pair of quantum point contacts, each of which passes several modes, the original quantum environment evolves into a set of decoherent and coherent states, which classically would compose a mixed phase space. The manner of this breakup is governed strongly by Zurek's decoherence theory, and the remaining coherent states possess all the properties of his pointer states. These states are naturally studied via traditional magnetotransport at low temperatures. More recently, we have used scanning gate (conductance) microscopy to probe the nature of the coherent states, and have shown that families of states exist through the spectrum in a manner consistent with quantum Darwinism. In this review, we discuss the nature of the various states, how they are formed, and the signatures that appear in magnetotransport and general conductance studies.

Section: Pointer States and Decoherencementioning

confidence: 72%

Open quantum dots—probing the quantum to classical transition

Burke

Semicond. Sci. Technol.

et al. 2011

“…In paper I, we briefly discussed the scaling of the dominant frequencies, where scaling with both the dot area and with the dot edge length was observed for various dot sizes. Other studies have shown both of these behaviors [24,70]. It is clear that this scaling is supported by the density of states, with the dominant behavior depending upon which of the two terms of equation ( 15) dominates this quantity.…”

Section: Trace Formulasmentioning

confidence: 72%

Open quantum dots: II. Probing the classical to quantum transition

Brunner

J. Phys.: Condens. Matter

et al. 2012

Open quantum dots provide a natural system in which to study both classical and quantum features of transport. From the classical point of view these dots possess a mixed phase space which yields families of closed, regular orbits as well as an expansive sea of chaos. An important question concerns the manner in which these classical states evolve into the set of quantum states that populate the dot in the quantum limit. In the reverse direction, the manner in which the quantum states evolve to the classical world is governed strongly by Zurek's decoherence theory. This was discussed from the quantum perspective in an earlier review (Ferry et al 2011 Semicond. Sci. Technol. 26 043001). Here, we discuss the nature of the various classical states, how they are formed, how they progress to the quantum world, and the signatures that they create in magnetotransport and general conductance studies of these dots.

“…This state is very long lived and clearly identified with the dot itself. Moreover, it is found that this scarred state scales with the dot size [53,54]. The wave function shown in Fig.…”

Section: Quantum Simulationsmentioning

confidence: 87%

Open quantum dots: Physics of the non‐Hermitian Hamiltonian

Fortschritte der Physik

Burke

et al. 2012

Quantum dots provide a natural system in which to study both classical and quantum features of transport, as they possess a very rich set of eigenstates.When coupled to the environment through a pair of quantum point contacts, these dots possess a mixed phase space which yields families of closed, regular orbits as well as an expansive sea of chaos. In this latter case, many of the eigenstates are decohered through interaction with the environment, but many survive and are referred to as the set of pointer states. These latter states are described by a projected, non-Hermitian Hamiltonian which describes their dissipation through many-body interactions with particles in the external environment.