Domain percolation in a quenched ferromagnetic spinor condensate

Shitara, Nanako; Bir, Shreya; Blakie, P. B.

doi:10.1088/1367-2630/aa7e70

Cited by 12 publications

(8 citation statements)

References 45 publications

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“…1). Coarsening features found in the Ising model have been observed in systems as diverse as binary Bose gases [4][5][6][7][8][9], bacteria colony models [10] and optical parametric oscillator systems [11].…”

Section: Introductionmentioning

confidence: 91%

Universal behavior in finite 2D kinetic ferromagnets

Denholm¹,

Hourahine²

2018

Preprint

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We study the time evolution of the two-dimensional kinetic Ising model in finite systems with a non-conserved order parameter, considering nearest-neighbour interactions on the square lattice with periodic and open boundary conditions. Universal data collapse in spin product correlation functions is observed which, when expressed in rescaled units, is valid across the entire time evolution of the system at all length scales, not just within the time regime usually considered in the dynamical scaling hypothesis. Consequently, beyond rapidly decaying finite size effects, the evolution of correlations in small finite systems parallels arbitrarily larger cases, even at large fractions of the size of these finite systems.

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Section: Introductionmentioning

confidence: 91%

Universal behavior in finite 2D kinetic ferromagnets

Denholm¹,

Hourahine²

2018

Preprint

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“…As demonstrated in the experiment of spin-current instability in the AF phase [35], a magnetic-field gradient induces a spin current along a magnetic DW in the F phase, which causes the transverse-magnon condensation and quantum KHI at the DW. Additionally, DWs are nucleated in the nonequilibrium process of spontaneous symmetry breaking in domain-coarsening dynamics in the F phase [92][93][94][95] and spin currents occur in a complicated manner there. The occurrence of KHI there is justified by the quantum anomaly of the dynamic scaling behavior induced by vortex sheets (DWs with spin current) [95][96][97].…”

Section: Summary and Prospectsmentioning

confidence: 99%

Spin-current instability at a magnetic domain wall in a ferromagnetic superfluid: A generation mechanism of eccentric fractional skyrmions

Takeuchi

2022

Phys. Rev. A

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Spinful superfluids of ultracold atoms are ideal for investigating the intrinsic properties of spin current and texture because they are realized in an isolated, nondissipative system free from impurities, dislocations, and thermal fluctuations. This study theoretically reveals the impact of spin current on a magnetic domain wall in spinful superfluids. An exact wall solution is obtained in the ferromagnetic phase of a spin-1 Bose-Einstein condensate with easy-axis anisotropy at zero temperature. The bosonic-quasiparticle mechanics analytically show that the spin current along the wall becomes unstable if the velocity exceeds the critical spin-current velocities, leading to complicated situations because of the competition between transverse magnons and ripplons. Our direct numerical simulation reveals that this system has a mechanism to generate an eccentric fractional skyrmion, which has a fractional topological charge, but its texture is not similar to that of a meron. This mechanism is in contrast to the generation of conventional skyrmions in easy-axis magnets. The theoretical findings can be examined in the same situation as in a recent experiment on ultracold atoms. In terms of the universality of spontaneous symmetry breaking, unexplored similar phenomena are expected in different physical systems with the same broken symmetry.

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“…The lattice sites are, then, labeled as 0 and −1 for the CBSS and SSS phases, respectively. To count the number of domains we use percolation analysis, and the computational algorithms are described in previous works [71,72]. In the present work, however, we have developed an algorithm based on linked-lists [73].…”

Section: Scaling Of the Number Of Domainsmentioning

confidence: 99%

Quantum quench dynamics of tilted dipolar bosons in 2D optical lattices

Sable¹,

Gaur²,

Bandyopadhyay³

et al. 2021

Preprint

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We investigate the quench dynamics of the dipolar bosons in two dimensional optical lattice of square geometry using the time dependent Gutzwiller method. The system exhibits different density orders like the checkerboard and the striped pattern, depending upon the polarization angle of the dipoles. We quench the hopping parameter across the striped density wave (SDW) to striped supersolid (SSS) phase transition, and obtain the scaling laws for the correlation length and topological vortex density, as function of the quench rate. The results are reminiscent of the Kibble-Zurek mechanism (KZM). We also investigate the dynamics from the striped supersolid phase to the checkerboard supersolid phase, obtained by quenching the dipole tilt angle θ. This is a first order structural quantum phase transition, and we study the non-equilibrium dynamics from the perspective of the KZM. In particular, we find the number of the domains with checkerboard order follows a power law scaling with the quench rate. This indicates the applicability of the KZM to this first order quantum phase transition.

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Domain percolation in a quenched ferromagnetic spinor condensate

Cited by 12 publications

References 45 publications

Universal behavior in finite 2D kinetic ferromagnets

Universal behavior in finite 2D kinetic ferromagnets

Spin-current instability at a magnetic domain wall in a ferromagnetic superfluid: A generation mechanism of eccentric fractional skyrmions

Quantum quench dynamics of tilted dipolar bosons in 2D optical lattices

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