### Abstract

Edge states have been a backbone of our understanding of the experimental basis of the quantum Hall effect for quite some time. Interestingly, this comprises a quantum system with well defined currents and particle trajectories. The role of trajectories in quantum mechanics has been a problematic question of interpretation for quite some time, and the open quantum dot is a natural system in which to probe this question. Contrary to early speculation, a set of well defined quantum states survives in the open quantum dot. These states are the pointer states and provide a transition into the classical states that can be found in these structures. These states provide resonances, which are observable as oscillatory behavior in the magnetoconductance of the dots. But, they have well defined current directions within the dots. Consequently, one expects trajectories to be a property of these states as well. As one crosses from the low to the high field regime, quite steady trajectories and consequent wave functions can easily be identified and examined. In this talk, we review the current understanding and the support for the decoherence theory.

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

Pages (from-to) | 1278-1287 |

Number of pages | 10 |

Journal | International Journal of Modern Physics B |

Volume | 21 |

Issue number | 8-9 |

State | Published - Apr 10 2007 |

### Fingerprint

### Keywords

- Conductance
- Einselection
- Pointer states
- Quantum states

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*International Journal of Modern Physics B*,

*21*(8-9), 1278-1287.

**Edge states and trajectories in quantum dots : Probing the quantum-classical transition.** / Ferry, D. K.; Akis, R.; Bird, J. P.

Research output: Contribution to journal › Article

*International Journal of Modern Physics B*, vol. 21, no. 8-9, pp. 1278-1287.

}

TY - JOUR

T1 - Edge states and trajectories in quantum dots

T2 - Probing the quantum-classical transition

AU - Ferry, D. K.

AU - Akis, R.

AU - Bird, J. P.

PY - 2007/4/10

Y1 - 2007/4/10

N2 - Edge states have been a backbone of our understanding of the experimental basis of the quantum Hall effect for quite some time. Interestingly, this comprises a quantum system with well defined currents and particle trajectories. The role of trajectories in quantum mechanics has been a problematic question of interpretation for quite some time, and the open quantum dot is a natural system in which to probe this question. Contrary to early speculation, a set of well defined quantum states survives in the open quantum dot. These states are the pointer states and provide a transition into the classical states that can be found in these structures. These states provide resonances, which are observable as oscillatory behavior in the magnetoconductance of the dots. But, they have well defined current directions within the dots. Consequently, one expects trajectories to be a property of these states as well. As one crosses from the low to the high field regime, quite steady trajectories and consequent wave functions can easily be identified and examined. In this talk, we review the current understanding and the support for the decoherence theory.

AB - Edge states have been a backbone of our understanding of the experimental basis of the quantum Hall effect for quite some time. Interestingly, this comprises a quantum system with well defined currents and particle trajectories. The role of trajectories in quantum mechanics has been a problematic question of interpretation for quite some time, and the open quantum dot is a natural system in which to probe this question. Contrary to early speculation, a set of well defined quantum states survives in the open quantum dot. These states are the pointer states and provide a transition into the classical states that can be found in these structures. These states provide resonances, which are observable as oscillatory behavior in the magnetoconductance of the dots. But, they have well defined current directions within the dots. Consequently, one expects trajectories to be a property of these states as well. As one crosses from the low to the high field regime, quite steady trajectories and consequent wave functions can easily be identified and examined. In this talk, we review the current understanding and the support for the decoherence theory.

KW - Conductance

KW - Einselection

KW - Pointer states

KW - Quantum states

UR - http://www.scopus.com/inward/record.url?scp=34248655174&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34248655174&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34248655174

VL - 21

SP - 1278

EP - 1287

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

SN - 0217-9792

IS - 8-9

ER -