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QI: Fachverband Quanteninformation

QI 38: Quantum Thermodynamics

QI 38.5: Vortrag

Freitag, 14. März 2025, 12:00–12:15, HS IX

Boyle's Law in Single-Particle Quantum Systems — •Anton Kantz, Jonathan Brugger, Anja Kuhnhold, and Andreas Buchleitner — Physikalisches Institut der Albert-Ludwigs-Unversität Freiburg, Hermann-Herder-Str. 3, D-79014 Freiburg

We examine properties of statistically defined pressure in a single-particle quantum system. Previous work [1] has shown that isotropic pressure can be achieved if the corresponding classical system is chaotic, or through averaging over many high-energy quantum states of an integrable system.

An important property of a classical gas is Boyle's law, which states that pressure is inversely proportional to volume. We investigate Boyle's law for a single quantum particle moving in a two-dimensional domain. In analogy to the ideal gas law, we aim to define a temperature using the product of pressure - derived directly from the microscopic spectral structure - and volume.

We first consider a two-dimensional rectangular box, which exhibits integrable dynamics, and investigate Boyle's law under various microscopic definitions of pressure. We then transition to a Sinai billiard, which generates classically chaotic dynamics, and investigate to which extent the structure of the billiard's eigenstates makes Boyle's law emerge.

[1] C. Wulf, Microscopic Models of Pressure, Bachelor thesis, Albert-Ludwigs-Universität Freiburg, 2024

Keywords: Eigenstate Thermalization Hypothesis; Quantum Chaos; Equilibrium Statistical Mechanics; Quantum Billiards