Dr. Radic, <i>et al</i> reply

Radić, Mislav; Vergles, Jadranka Morović; Kovačić, Jelena; Šalamon, Lea

doi:10.3899/jrheum.100774

Cited by 3 publications

(3 citation statements)

References 8 publications

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“…Introduction. The recent realization of ultracold spin-orbit coupled (SOC) quantum gases [1] has attracted high interest and resulted in considerable research efforts both on the theoretical and experimental side [2][3][4][5][6], in part due to the possibility to tune the spin-orbit interactions [7] in contrast to solid state materials. Ultracold quantum gases with spin-orbit coupling manifest novel types of superfluid and magnetic groundstates and have also been predicted to host topological excitations like Majorana fermions [8].…”

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Superfluidity breakdown and multiple roton gaps in spin-orbit-coupled Bose-Einstein condensates in an optical lattice

Toniolo¹,

Linder²

2014

Phys. Rev. A

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We investigate the superfluid phases of a Rashba spin-orbit coupled Bose-Einstein condensate residing on a two dimensional square optical lattice in the presence of an effective Zeeman field Ω. At a critical value Ω = Ω c , the single-particle spectrum E k changes from having a set of four degenerate minima to a single minimum at k = 0, corresponding to condensation at finite or zero momentum, respectively. We describe this quantum phase transition and the symmetry breaking of the condensate phases. We use the Bogoliubov theory to treat the superfluid phases and determine the phase diagram, the excitation spectrum and the sound velocity of the phonon excitations. A novel dynamically unstable superfluid regime occurring when Ω is close to Ω c is analytically identified and the behavior of the condensate quantum depletion is discussed. Moreover, we show that there are two types of roton excitations occurring in the Ω < Ω c regime and obtain explicit values for the corresponding energy gaps. PACS numbers:Introduction. The recent realization of ultracold spin-orbit coupled (SOC) quantum gases [1] has attracted high interest and resulted in considerable research efforts both on the theoretical and experimental side [2][3][4][5][6], in part due to the possibility to tune the spin-orbit interactions [7] in contrast to solid state materials. Ultracold quantum gases with spin-orbit coupling manifest novel types of superfluid and magnetic groundstates and have also been predicted to host topological excitations like Majorana fermions [8].The SOC Bose-Einstein condensate (BEC) has intrinsic features that make it different from the standard BEC: the interaction among atoms make a SOC BEC stable since it cannot exist in the free regime [9], the SOC also breaks the Galileian invariance so that the superfluid properties change in different reference frames [10]; for a review see [11]. Several works have considered different types of SOC in the continuous limit: pure Rashba, mixed and symmetric Rashba-Dresselhaus, in two and three dimensions [12][13][14]. The exotic properties of the Mott insulating phase arising from the superfluid-Mott insulator (SF-MI) transition [15,16] were also considered in the case of an optically induced lattice. However, an analytical quantitative description of the SF phase for a SOC BEC in an optically induced lattice is still missing.In this work, we consider a Bose-Einstein condensate with Rashba SOC residing on a 2D square optical lattice and prove that the SOC qualitatively affects the features of the superfluid phase. The system's parameters are the Zeeman-coupling Ω, the strength of the spin-orbit coupling λ , the hopping t, and the intra-and interspecies interactions U,U . We discuss the origin and magnitude of these terms in more detail later on. We will in this paper show three main results: I) with λ t the existence of the SF is related to the ratio Ω/U and not to t/U like in the usual Bose-Hubbard models; II) Ω can trigger a breakdown of SF in a window near the critical value Ω c ≡ 2λ 2 /t...

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Superfluidity breakdown and multiple roton gaps in spin-orbit-coupled Bose-Einstein condensates in an optical lattice

Toniolo¹,

Linder²

2014

Phys. Rev. A

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“…My favorite JEM paper? The trio of papers by Weigert and Nemazee in 1993 identifying B cell receptor editing as a potent mechanism of B cell tolerance ( Gay et al, 1993 ; Radic et al, 1993 ; Tiegs et al, 1993 ).…”

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Bigas¹,

Zanoni²,

Hepworth³

et al. 2021

Journal of Experimental Medicine

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“…The SO coupling produces non-abelian gauge fields [3], plays a key role in spintronics [4] such as spin-polarized transport, spin injection, and spin relaxation, and yields many other interesting phenomena such as the quantum spin Hall effect and topological insulators [5]. The experimental realization of synthetic gauge fields has stimulated tremendous efforts on SO-coupled quantum gases [6][7][8][9][10][11][12][13][14][15][16][17][18].…”

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Symmetry classification of spin-orbit-coupled spinor Bose-Einstein condensates

Kawaguchi

You

et al. 2012

Phys. Rev. A

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We develop a symmetry classification scheme to find ground states of pseudo-spin-1 2 , spin-1, and spin-2 spin-orbit-coupled spinor Bose-Einstein condensates and show that as the SO(2) symmetry of simultaneous spin and space rotations is broken into discrete cyclic groups, various types of lattice structures emerge in the absence of a lattice potential. Examples include two different kagome lattices for pseudo-spin-1 2 condensates and a nematic vortex lattice in which uniaxial and biaxial spin textures align alternatively for spin-2 condensates. For the pseudo-spin-1 2 system, although mean-field states always break time-reversal symmetry, there exists a timereversal invariant many-body ground state, which is fragmented and expected to be observed in a microcondensate.

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Dr. Radic, et al reply

Cited by 3 publications

References 8 publications

Superfluidity breakdown and multiple roton gaps in spin-orbit-coupled Bose-Einstein condensates in an optical lattice

Superfluidity breakdown and multiple roton gaps in spin-orbit-coupled Bose-Einstein condensates in an optical lattice

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Symmetry classification of spin-orbit-coupled spinor Bose-Einstein condensates

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