Nonadiabatic quantum phase transition in a trapped spinor condensate

Świsłocki, Tomasz; Witkowska, Emilia; Matuszewski, Michał

doi:10.1103/physreva.94.043635

Cited by 4 publications

(6 citation statements)

References 38 publications

(76 reference statements)

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“…5(c) for N = 2 × 10 6 . The KZ theory for the trapped case in the local density approximation [11] gives Ŝ ∝ τ −2/3 Q which is confirmed by numerical calculations presented in Fig. 5(d) for small τ Q only.…”

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confidence: 76%

“…Moreover, particular parts of the system undergo a phase transition at different times, which makes the bistability region additionally smeared out. The growth of the ρ 0 phase does not depend only on the reminiscence of the state history but is influenced much by the neighboring local phase due to tunneling of the local magnetization [11]. As a consequence, the width of the hysteresis loop is not strictly connected to the width of the bistability area.…”

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confidence: 96%

“…The situation changes when the system is enclosed in an external trapping potential, as it makes the separation of the two metastable energy states smeared out, and the rate-independent hysteresis loop becomes impossible to observe. The scaling of the rate-dependent hysteresis area in this case is influenced by the trap inhomogeneity [11][12][13][14][15][16][17]. In addition, in the low density regime a process of phase ordering kinetics [18][19][20][21][22][23] additionally modifies the scaling laws.…”

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confidence: 99%

“…We also study the system enclosed in an external harmonic trapping potential (ω = 0). One can show, based on the Thomas-Fermi and local density approximations, that the values of both q 1 and q c are spacedependent [11]. By introducing the Thomas-Fermi unit r = x/x TF , where x TF = [3c 0 N/(2µω 2 )] 1/3 is the Thomas-Fermi radius, the parameters q of interest are q 1 (r) = 1 2…”

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Dynamic hysteresis from bistability in an antiferromagnetic spinor condensate

et al. 2018

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We study the emergence of hysteresis during the process of quantum phase transition from an antiferromagnetic to a phase-separated state in a spin-1 Bose Einstein condensate of ultracold atoms. We explicitly demonstrate the appearance of a hysteresis loop with various quench times showing that it is rate-independent for large magnetizations only. In other cases scaling of the hysteresis loop area is observed, which we explain by using the Kibble-Zurek theory in the limit of small magnetization. The effect of an external harmonic trapping potential is also discussed.PACS numbers: 03.75. Kk, 03.75.Mn, 67.85.De, 67.85.Fg The classic example of hysteresis is the relation of the applied magnetic field to the magnetization in solid-state ferromagnetic materials. Hysteresis can also occur in different situations as a product of a fundamental physical mechanism like a phase transition, or a result of imperfections or degradations. Hysteresis occurs in two forms: rate-dependent and rate-independent. In the rateindependent case, two or more metastable energy states are separated by an energy barrier. When an external driving force moves the system from one metastable state to another, the system exhibits the history-dependent behavior. The rate-independent hysteresis of supercurrent in a rotating, superfluid Bose-Einstein condensate was observed and has been proclaimed as a milestone in the advancement of atomtronic circuitry [1][2][3]. A recent experiment [4] has also demonstrated the rate-independent hysteresis when a Bose-Einstein condensate is placed in a double-well potential. On the other hand, the observation of rate-dependent hysteresis could provide insight into the out-of-equilibrium dynamics of the system.Spinor condensates are composed of N atoms in several Zeeman components with a given hyperfine spin F and magnetic numbers m F . The global ground state of the F = 1 system is classified as ferro-or antiferromagnetic, depending on the sign of spin-dependent interactions. The magnetization longitudinal with respect to magnetic field M is approximately conserved in the system and acts as an independent external parameter. This conservation law comes from the spin rotational symmetry of contact interactions when dipole-dipole interactions are neglected. Consequently, in contrast to solid-state magnetic materials, classical hysteresis is impossible in spinor F = 1 condensates. However, a weak magnetic field drives the system to the transition from an antiferromagnetic ground state to a state where domains of atoms with different spin projections separate [5]. The phase transition is specific due to the region of bistability in which the antiferromagnetic and phase separated states are both metastable [6].In this paper, we investigate the emergence of hysteresis from bistability during the phase transition in an antiferromagnetic spin-1 condensate. The system is al-ready recognized as useful for quantum technology tasks, however hysteresis was not been examined up to now. By employing numerical simulations within...

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confidence: 96%

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Dynamic hysteresis from bistability in an antiferromagnetic spinor condensate

et al. 2018

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“…The spin-1 Bose condensates have been also extensively studied due to the presence of the quantum phase transition at the critical value of an external magnetic field [21][22][23][24][25][26][27][28]. The order parameter can be e.g.…”

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Metrologically useful states of spin-1 Bose condensates with macroscopic magnetization

Kajtoch¹,

Pawłowski²,

Witkowska³

2018

Phys. Rev. A

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We study theoretically the usefulness of spin-1 Bose condensates with macroscopic magnetization in a homogeneous magnetic field for quantum metrology. We demonstrate Heisenberg scaling of the quantum Fisher information for states in thermal equilibrium. The scaling applies to both antiferromagnetic and ferromagnetic interactions. The effect preserves as long as fluctuations of magnetization are sufficiently small. Scaling of the quantum Fisher information with the total particle number is derived within the mean-field approach in the zero temperature limit and exactly in the high magnetic field limit for any temperature. The precision gain is intuitively explained owing to subtle features of the quasi-distribution function in phase space.

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Spin-Orbit Coupling Induced Phase Separation in Spin-1 Condensate with Optical Lattice

Zhao

2019

Int J Theor Phys

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Nonadiabatic quantum phase transition in a trapped spinor condensate

Cited by 4 publications

References 38 publications

Dynamic hysteresis from bistability in an antiferromagnetic spinor condensate

Dynamic hysteresis from bistability in an antiferromagnetic spinor condensate

Metrologically useful states of spin-1 Bose condensates with macroscopic magnetization

Spin-Orbit Coupling Induced Phase Separation in Spin-1 Condensate with Optical Lattice

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