Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings

被引：8

作者：

Ebling, Ulrich ^{[1
,2
]}

Alavi, Ali ^{[3
,4
]}

Brand, Joachim ^{[1
,2
,3
]}

机构：

[1] Massey Univ, New Zealand Inst Adv Study, Ctr Theoret Chem & Phys, Private Bag 902104, Auckland 0745, New Zealand

[2] Dodd Walls Ctr Photon & Quantum Technol, POB 56, Dunedin 9056, New Zealand

[3] Max Planck Inst Solid State Res, Heisenbergstr 1, D-70569 Stuttgart, Germany

[4] Univ Cambridge, Yusef Hamied Dept Chem, Lensfield Rd, Cambridge CB2 1EW, England

来源：

PHYSICAL REVIEW RESEARCH | 2021年 / 3卷 / 02期

关键词：

DETERMINISTIC PREPARATION; SINGLE-ATOM; SOLITONS; WAVES; SUPERCONDUCTIVITY; BEGINNERS; GASES;

D O I：

10.1103/PhysRevResearch.3.023142

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study properties of the lowest energy states at nonzero total momentum (yrast states) of the Hubbard model for spin-1/2 fermions in the quantum ring configuration with attractive on-site interaction at low density. In the one-dimensional (1D) case we solve the Hubbard model using the Bethe ansatz, while for the crossover into the 2D regime we use the Full-Configuration-Interaction Quantum Monte Carlo method to obtain the yrast states for the spin-balanced Fermi system. We show how the yrast excitation spectrum changes from the 1D to the 2D regime and how pairing affects the yrast spectra. We also find signatures of fragmented condensation for certain yrast states usually associated with dark solitons.

引用

页数：10

共 87 条

[21] POSSIBLE PAIRING WITHOUT SUPERCONDUCTIVITY AT LOW CARRIER CONCENTRATIONS IN BULK AND THIN-FILM SUPERCONDUCTING SEMICONDUCTORS [J].

EAGLES, DM .

PHYSICAL REVIEW, 1969, 186 (02) :456-&

[22] Moving solitons in a one-dimensional fermionic superfluid [J].

Efimkin, Dmitry K. ;

Galitski, Victor .

PHYSICAL REVIEW A, 2015, 91 (02)

[23] Dynamically controlled toroidal and ring-shaped magnetic traps [J].

Fernholz, T. ;

Gerritsma, R. ;

Krueger, P. ;

Spreeuw, R. J. C. .

PHYSICAL REVIEW A, 2007, 75 (06)

[24] Nucleation in Finite Topological Systems During Continuous Metastable Quantum Phase Transitions [J].

Fialko, Oleksandr ;

Delattre, Marie-Coralie ;

Brand, Joachim ;

Kolovsky, Andrey R. .

PHYSICAL REVIEW LETTERS, 2012, 108 (25)

[25]

Fomin VM, 2018, NANOSCI TECHNOL, P195, DOI 10.1007/978-3-319-90481-8_10

[26] Quantum Monte Carlo simulations of solids [J].

Foulkes, WMC ;

Mitas, L ;

Needs, RJ ;

Rajagopal, G .

REVIEWS OF MODERN PHYSICS, 2001, 73 (01) :33-83

[27] SUPERCONDUCTIVITY IN STRONG SPIN-EXCHANGE FIELD [J].

FULDE, P ;

FERRELL, RA .

PHYSICAL REVIEW, 1964, 135 (3A) :A550-+

[28] Theory of ultracold atomic Fermi gases [J].

Giorgini, Stefano ;

Pitaevskii, Lev P. ;

Stringari, Sandro .

REVIEWS OF MODERN PHYSICS, 2008, 80 (04) :1215-1274

[29] Dark solitons revealed in Lieb-Liniger eigenstates [J].

Golletz, Weronika ;

Gorecki, Wojciech ;

Oldziejewski, Rafal ;

Pawlowski, Krzysztof .

PHYSICAL REVIEW RESEARCH, 2020, 2 (03)

[30]

Grünzweig T, 2010, NAT PHYS, V6, P951, DOI [10.1038/nphys1778, 10.1038/NPHYS1778]

← 1 2 3 4 5 6 7 8 9 →