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Quantum stress in chaotic billiards
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics . Linköping University, The Institute of Technology.
L.V. Kirensky Institute of Physics.
Linköping University, Department of Physics, Chemistry and Biology. Linköping University, The Institute of Technology.
AG Quantenchaos.
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2008 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 77, no 066209Article in journal (Refereed) Published
Abstract [en]

This paper reports on a joint theoretical and experimental study of the Pauli quantum-mechanical stress tensor T(x,y) for open two-dimensional chaotic billiards. In the case of a finite current flow through the system the interior wave function is expressed as =u+iv. With the assumption that u and v are Gaussian random fields we derive analytic expressions for the statistical distributions for the quantum stress tensor components T. The Gaussian random field model is tested for a Sinai billiard with two opposite leads by analyzing the scattering wave functions obtained numerically from the corresponding Schrödinger equation. Two-dimensional quantum billiards may be emulated from planar microwave analogs. Hence we report on microwave measurements for an open two-dimensional cavity and how the quantum stress tensor analog is extracted from the recorded electric field. The agreement with the theoretical predictions for the distributions for T(x,y) is quite satisfactory for small net currents. However, a distinct difference between experiments and theory is observed at higher net flow, which could be explained using a Gaussian random field, where the net current was taken into account by an additional plane wave with a preferential direction and amplitude.

Place, publisher, year, edition, pages
2008. Vol. 77, no 066209
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Natural Sciences
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URN: urn:nbn:se:liu:diva-12557DOI: 10.1103/PhysRevE.77.066209OAI: oai:DiVA.org:liu-12557DiVA: diva2:1698
Note
Original publication: Karl-Fredrik Berggren, Dmitrii N. Maksimov, Almas F. Sadreev, Ruven Höhmann, Ulrich Kuhl, and Hans-Jürgen Stöckmann, Quantum stress in chaotic billiards, 2008, Physical Review E, (77), 066209. Copyright: The America Physical Society, http://prb.aps.org/ Available from: 2008-09-15 Created: 2008-09-15 Last updated: 2017-12-14

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Berggren, Karl-Fredrik Sadreev, Almas F.

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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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