Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases

We provide a comprehensive theoretical study of the radio-frequency (rf) spectra of a two-component Fermi gas with balanced populations in the normal region of the temperature-vs-coupling phase diagram. In particular, rf spectra are analyzed in terms of two characteristic peaks, which can be either...

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Main Authors: Leonardo Pisani, Michele Pini, Pierbiagio Pieri, Giancarlo Calvanese Strinati
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379724000408
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author Leonardo Pisani
Michele Pini
Pierbiagio Pieri
Giancarlo Calvanese Strinati
author_facet Leonardo Pisani
Michele Pini
Pierbiagio Pieri
Giancarlo Calvanese Strinati
author_sort Leonardo Pisani
collection DOAJ
description We provide a comprehensive theoretical study of the radio-frequency (rf) spectra of a two-component Fermi gas with balanced populations in the normal region of the temperature-vs-coupling phase diagram. In particular, rf spectra are analyzed in terms of two characteristic peaks, which can be either distinct or overlapping. On the BEC side of the crossover, these two contributions are associated with a fermionic quasi-particle peak and a bosonic-like contribution due to pairing. On the BCS side of the crossover, the two peaks are instead associated with interactions between particles occurring, respectively, at high or low relative momenta. Through this two-peak analysis, we show how and to what extent the correlation between the widths of the rf spectra and the pair size, previously identified in the superfluid phase at low temperature, can be extended to the normal phase, as well as how the temperature-vs-coupling phase diagram of the BCS-BEC crossover can be partitioned in a number of distinct physical sectors. Several analytic results for the shape and widths of the rf spectra are also derived in appropriate temperature and coupling limits.
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spelling doaj.art-b0586d946b51465289253f6d65735f442024-02-15T05:23:44ZengElsevierResults in Physics2211-37972024-02-0157107358Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gasesLeonardo Pisani0Michele Pini1Pierbiagio Pieri2Giancarlo Calvanese Strinati3School of Science and Technology, Physics Division, Università di Camerino, 62032 Camerino, ItalyMax Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, GermanyDipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126 Bologna, Italy; INFN, Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy; Corresponding author at: Dipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126 Bologna, Italy.School of Science and Technology, Physics Division, Università di Camerino, 62032 Camerino, Italy; CNR-INO, Istituto Nazionale di Ottica, Sede di Firenze, 50125 Firenze, ItalyWe provide a comprehensive theoretical study of the radio-frequency (rf) spectra of a two-component Fermi gas with balanced populations in the normal region of the temperature-vs-coupling phase diagram. In particular, rf spectra are analyzed in terms of two characteristic peaks, which can be either distinct or overlapping. On the BEC side of the crossover, these two contributions are associated with a fermionic quasi-particle peak and a bosonic-like contribution due to pairing. On the BCS side of the crossover, the two peaks are instead associated with interactions between particles occurring, respectively, at high or low relative momenta. Through this two-peak analysis, we show how and to what extent the correlation between the widths of the rf spectra and the pair size, previously identified in the superfluid phase at low temperature, can be extended to the normal phase, as well as how the temperature-vs-coupling phase diagram of the BCS-BEC crossover can be partitioned in a number of distinct physical sectors. Several analytic results for the shape and widths of the rf spectra are also derived in appropriate temperature and coupling limits.http://www.sciencedirect.com/science/article/pii/S2211379724000408BCS-BEC crossoverUltracold Fermi gasesRadio-frequency spectroscopyPairing fluctuations
spellingShingle Leonardo Pisani
Michele Pini
Pierbiagio Pieri
Giancarlo Calvanese Strinati
Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
Results in Physics
BCS-BEC crossover
Ultracold Fermi gases
Radio-frequency spectroscopy
Pairing fluctuations
title Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
title_full Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
title_fullStr Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
title_full_unstemmed Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
title_short Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
title_sort peaks and widths of radio frequency spectra an analysis of the phase diagram of ultra cold fermi gases
topic BCS-BEC crossover
Ultracold Fermi gases
Radio-frequency spectroscopy
Pairing fluctuations
url http://www.sciencedirect.com/science/article/pii/S2211379724000408
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AT pierbiagiopieri peaksandwidthsofradiofrequencyspectraananalysisofthephasediagramofultracoldfermigases
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