Regensburg 2022 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 10: Quantum Simulation and Many-Body Systems
QI 10.10: Vortrag
Donnerstag, 8. September 2022, 12:15–12:30, H9
Thermodynamics of Permutation-Invariant Quantum Many-Body Systems: A Group-Theoretical Framework — •Benjamin Yadin1, Benjamin Morris2,3, and Kay Brandner2,3 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany — 2School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom — 3Centre for the Mathematics and Theoretical Physics of Quantum Non-equilibrium Systems, University of Nottingham, Nottingham NG7 2RD, United Kingdom
Classical thermodynamics originally described ensembles of many particles controlled collectively without addressing individual particles. However, quantum phenomena such as entanglement may lead to very different collective behaviour. We study non-identical particles that interact identically with their environment and control systems. Such collective dynamics are generally generated by a Hamiltonian invariant under particle permutations.
We develop a general framework for such systems, finding a quantum state space containing additional non-classical degrees of freedom. While the permutation symmetry prevents full thermalisation, we prove that a sufficiently complex bath interaction enables maximum possible thermalisation. For systems initialised out of equilibrium with the bath, we calculate steady-state properties and determine the performance of a heat engine model. Compared with previous models using SU(2) spin interactions, we show that SU(d)-based couplings for d-dimensional particles can lead to thermodynamical advantages.