### Abstract

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.

Original language | English (US) |
---|---|

Pages (from-to) | 291-304 |

Number of pages | 14 |

Journal | Fortschritte der Physik |

Volume | 61 |

Issue number | 2-3 |

DOIs | |

State | Published - Feb 2013 |

### Fingerprint

### Keywords

- Classical to quantum transition
- Dissipation.
- Projection algebra
- Semiconductor quantum dots

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Fortschritte der Physik*,

*61*(2-3), 291-304. https://doi.org/10.1002/prop.201200065

**Open quantum dots : Physics of the non-Hermitian Hamiltonian.** / Ferry, D. K.; Akis, R.; Burke, A. M.; Knezevic, I.; Brunner, R.; Meisels, R.; Kuchar, F.; Bird, J. P.

Research output: Contribution to journal › Article

*Fortschritte der Physik*, vol. 61, no. 2-3, pp. 291-304. https://doi.org/10.1002/prop.201200065

}

TY - JOUR

T1 - Open quantum dots

T2 - Physics of the non-Hermitian Hamiltonian

AU - Ferry, D. K.

AU - Akis, R.

AU - Burke, A. M.

AU - Knezevic, I.

AU - Brunner, R.

AU - Meisels, R.

AU - Kuchar, F.

AU - Bird, J. P.

PY - 2013/2

Y1 - 2013/2

N2 - 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.

AB - 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.

KW - Classical to quantum transition

KW - Dissipation.

KW - Projection algebra

KW - Semiconductor quantum dots

UR - http://www.scopus.com/inward/record.url?scp=84873258438&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873258438&partnerID=8YFLogxK

U2 - 10.1002/prop.201200065

DO - 10.1002/prop.201200065

M3 - Article

AN - SCOPUS:84873258438

VL - 61

SP - 291

EP - 304

JO - Fortschritte der Physik

JF - Fortschritte der Physik

SN - 0015-8208

IS - 2-3

ER -