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Quantum stress in chaotic billiards / K. F. Berggren [et al.] // Phys. Rev. E. - 2008. - Vol. 77, Is. 6. - Ст. 66209, DOI 10.1103/PhysRevE.77.066209. - Cited References: 43 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
MICROWAVE CAVITIES
   WAVE-FUNCTIONS
   STATISTICAL PROPERTIES
   SYSTEMS
   FIELDS
Кл.слова (ненормированные):
Computer networks -- Electric fields -- Electroacupuncture -- Electromagnetic field theory -- Electromagnetic fields -- Electromagnetism -- Function evaluation -- Functions -- Gaussian distribution -- Image segmentation -- Magnetism -- Mathematical models -- Microwaves -- Modal analysis -- Nematic liquid crystals -- Numerical analysis -- Random processes -- Stresses -- Tensors -- Trellis codes -- Two dimensional -- Wave functions -- Waves -- abiotic and biotic stress -- e ,2e theory -- p ,p ,t measurements -- American Physical Society (APS) -- Analytic expressions -- Current flowing -- Dinger equation -- Experimental studies -- Gaussian random fields -- net flows -- Plane waves -- Quantum billiards -- Quantum-mechanical (QM) -- Scattering wave functions -- Sinai billiard (SB) -- Statistical distributions -- Stress tensors -- Two-dimensional (2D) -- Chaotic systems
Аннотация: This paper reports on a joint theoretical and experimental study of the Pauli quantum-mechanical stress tensor T(alpha beta)(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 psi=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(alpha beta). 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 Schrodinger 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(alpha beta)(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.

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Держатели документа:
[Berggren, Karl-Fredrik
Sadreev, Almas F.] Linkoping Univ, IFM Theory & Modeling, S-58183 Linkoping, Sweden
[Maksimov, Dmitrii N.
Sadreev, Almas F.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Hoehmann, Ruven
Kuhl, Ulrich
Stoeckmann, Hans-Joergen] Univ Marburg, Fachbereich Phys, AG Quantenchaos, D-35032 Marburg, Germany
ИФ СО РАН
IFM-Theory and Modeling, Linkoping University, S-581 83 Linkoping, Sweden
L.V. Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
AG Quantenchaos, Fachbereich Physik der Philipps-Universitat Marburg, Renthof 5, D-35032 Marburg, Germany

Доп.точки доступа:
Berggren, K. F.; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Hohmann, R.; Kuhl, U.; Stockmann, H. J.
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