Kibble-Zurek scalings of continuous magnetic phase transitions in spin-1 spin-orbit-coupled Bose-Einstein condensates

Wu, Shuyuan; Ke, Yongguan; Huang, Jiahao; Lee, Chaohong

doi:10.1103/physreva.95.063606

Cited by 12 publications

(10 citation statements)

References 43 publications

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“…Due to the gapless excitations at the critical point, the adiabaticity breaks down when a system goes through a continuous phase transition. As a consequence, nontrivial excitations such as domains [4][5][6][7][8][9][10][11][12][13][14], vortices [15][16][17] and solitons [18][19][20] appear spontaneously and obey the wellkonwn Kibble-Zurek mechanism (KZM) [3,4,[21][22][23][24][25]. The KZM has been extensively studied in various systems, from the early universe [3,4], condensed matter systems [26][27][28], trapped ions [29][30][31][32][33], to ultracold atomic gases [5-15, 18-20, 34-37].…”

Section: Introductionmentioning

confidence: 99%

Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model

Jiang,

Lu,

Han

et al. 2020

Preprint

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We investigate the universally non-equilibrium dynamics of superradiant phase transition in the anisotropic quantum Rabi model. By introducing position and momentum operators, we obtain the ground states and their excitation gaps for both normal and superradiant phases via perturbation theory. We analytically extract the critical exponents from the excitation gap and the diverging length scale near the critical point, and find that the critical exponents are independent upon the anisotropy ratio. Moreover, by simulating the real-time dynamics across the critical point, we numerically extract the critical exponents from the phase transition delay and the diverging length scale, which are well consistent with the analytical ones. Our study provides a dynamic way to explore universal critical behaviors in the quantum Rabi model.

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Section: Introductionmentioning

confidence: 99%

Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model

Jiang,

Lu,

Han

et al. 2020

Preprint

Self Cite

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“…The non-equilibrium dynamics of quantum phase transitions have attracted great interest in many branches of physics, including cosmology, particle physics and condensed matter physics [1][2][3]. When a system is driven across a phase transition and enters a symmetry broken phase, one of the most nontrivial results is the creation of topological defects, such as domains [4][5][6][7][8][9][10][11][12][13], vortices [14][15][16] and solitons [17][18][19]. The possibility to engineer a quantum phase transition and recover its universality from topological defects is of great significance in non-equilibrium physics [20].…”

Section: Introductionmentioning

confidence: 99%

“…Up to now, great efforts have been made to create multi-component BECs with different atomic species [38,39], isotopes [40] or spin states [41][42][43]. Multi-component BECs exhibit rich physics not accessible in a single-component BEC, including phase separation with symmetry breaking [5,[44][45][46][47][48][49], Josephon oscillation [51] and domain walls [6][7][8][9][10][11]. Remarkably, the phase separation in multicomponent BECs has been observed in several experiments [38][39][40][41]43].…”

Section: Introductionmentioning

confidence: 99%

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Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates

Jiang

et al. 2019

New J. Phys.

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We investigate the non-equilibrium dynamics across the miscible-immiscible phase separation in a binary mixture of Bose-Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point, where the superfluidity spontaneously breaks down. We analytically extract the dynamical critical exponent z=2 and static correlation length critical exponent v=1/2 from the Landau critical velocity. Moreover, by simulating the real-time dynamics across the critical point, we find the average domain number and the average bifurcation delay show universal scaling laws with respect to the quench time. We then numerically extract the static correlation length critical exponent v=1/2 and the dynamical critical exponent z=2 according to Kibble-Zurek mechanism. The scaling exponents (v=1/2, z=2) in the phase separation driven by quenching the atom-atom interaction are different from the ones (v=1/2, z=1) in the phase separation driven by quenching the Rabi coupling strength (2009 Phys. Rev. Lett. 102 070401; 2011 Phys. Rev. Lett. 107 230402). Our study explores the connections between the spontaneous superfluidity breakdown and the spontaneous defect formation in the phase separation dynamics.

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“…Recently, this platform is used to search the supersolid phases [14][15][16]. It can also be used to study the universal scaling of defects described by Kibble-Zurek mechanism during quench dynamics [17,18]. The physics in Fermi gases are totally different due to the exclusive principle.…”

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confidence: 99%

Anomalous isothermal compressibility in spin-orbit coupled degenerate Fermi gases

Liang,

Huang,

Liu

et al. 2018

Preprint

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The spin-orbit coupling (SOC) in degenerate Fermi gases can fundamentally change the fate of s-wave superfluids with strong Zeeman field and give rise to topological superfluids and associated Majorana zero modes. It also dramatically changes the thermodynamic properties of the superfluids.Here we report the anomalous isothermal compressibility κT in this superfluids with both SOC and Zeeman field. We formulate this quantity from the Gibbs-Duhem equation and show that the contribution of κT comes from the explicit contribution of chemical potential and implicit contribution of order parameter. In the Bardeen-Cooper-Schrieffer (BCS) limit, this compressibility is determined by the density of state near the Fermi surface; while in the Bose Einstein condensate (BEC) regime it is determined by the scattering length. Between these two limits, we find that the anomalous peaks can only be found in the gapless Weyl phase regime. This anomalous behavior can be regarded as a remanent effect of phase separation. The similar physics can also be found in the lattice model away from half filling. These predictions can be measured from the anomalous response of sound velocity and fluctuation of carrier density.

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Kibble-Zurek scalings of continuous magnetic phase transitions in spin-1 spin-orbit-coupled Bose-Einstein condensates

Cited by 12 publications

References 43 publications

Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model

Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model

Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates

Anomalous isothermal compressibility in spin-orbit coupled degenerate Fermi gases

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