2013/08/31 by Ugo Marzolino, Daniel Braun · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensation #Ground state #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum state #Quantum, superfluid, helium dynamics #Sensitivity (control systems) #Statistical physics #Subspace topology #Thermodynamics #cond-mat.quant-gas #quant-ph #stat.AP
paper · pdf · doi:10.1103/physreva.88.063609
published as Phys. Rev. A 88, 063609 (2013)
arxiv created 2013/11/24 · openalex publication_date 2013/12/05 · arxiv updated 2016/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the sensitivity with which the temperature and the chemical potential characterizing quantum gases can be measured. We calculate the corresponding quantum Fisher information matrices for both fermionic and bosonic gases. For the latter, particular attention is devoted to the situation close to the Bose-Einstein condensation transition, which we examine not only for the standard scenario in three dimensions, but also for generalized condensation in lower dimensions, where the bosons condense in a subspace of Hilbert space instead of a unique ground state, as well as condensation at fixed volume or fixed pressure. We show that Bose-Einstein condensation can lead to sub-shot-noise sensitivity for the measurement of the chemical potential. We also examine the influence of interactions on the sensitivity in three different models and show that mean-field and contact interactions deteriorate the sensitivity but only slightly for experimentally accessible weak interactions.