Mainz 2017 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 16: Quantum Information: Concepts and Methods III
Q 16.6: Vortrag
Dienstag, 7. März 2017, 12:15–12:30, P 2
Physical Relevance of Generalized Pauli constraints — •Felix Tennie1, Daniel Ebler2, Vlatko Vedral1,3, and Christian Schilling1 — 1Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom — 2Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong — 3Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543
The fermionic exchange symmetry does not only imply Pauli's exclusion principle but even further constraints on fermionic occupation numbers. For concrete systems, these generalized Pauli constraints are particularly relevant whenever they are (approximately) saturated. In the form of a comprehensive analysis of an analytically solvable model (Harmonium) we explore the occurrence of such (quasi)pinning. By analyzing the strength of quasipinning as function of the particle number, coupling strength, spatial dimension and degree of spin polarization we reveal the mechanism behind it. It is the conflict of energy minimization and fermionic exchange symmetry. Consequently, our results suggest the existence of a microscopic Pauli pressure which forces the system into an approximate saturation of the generalized Pauli constraints.
[1] C. Schilling, D. Gross, and M. Christandl, PRL 110, 040404 (2013).
[2] F. Tennie, D. Ebler, V. Vedral, and C. Schilling, PRA 93, 042126 (2016).
[3] F. Tennie, V. Vedral, and C. Schilling, PRA 94, 012120 (2016).