Rotational Damping in Ytterbium Nuclei

Fs, Stephens; Deleplanque, M. A.; Lee, IY; Ward, D. R.; Fallon, P.; Cromaz, M.; Clark, R.M.; Rm, Diamond; Macchiavelli, A. O.; Vetter, K.

doi:10.1103/physrevlett.88.142501

Cited by 21 publications

(18 citation statements)

References 11 publications

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“…There are no great technical obstacles to such a simulation. Performing a Langevin simulation while maintaining the Gauss constraint (having imposed temporal gauge A 0 = 0) is straightforward and has been used in previous Langevin simulations of similar systems, albeit with greater symmetry [29].…”

Section: More Realistic Simulations: the System In Its Environmentmentioning

confidence: 99%

Fluxoid formation: size effects and non-equilibrium universality

Weir

Rivers

2011

J. Phys.: Conf. Ser.

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Simple causal arguments put forward by Kibble and Zurek suggest that the scaling behaviour of condensed matter at continuous transitions is related to the familiar universality classes of the systems at quasi-equilibrium. Although proposed 25 years ago or more, it is only in the last few years that it has been possible to devise experiments from which scaling exponents can be determined and in which this scenario can be tested.In Ref. [1], an unusually high Kibble-Zurek scaling exponent was reported for spontaneous fluxoid production in a single isolated superconducting Nb loop, albeit with low density. Using analytic approximations backed up by Langevin simulations, we argue that densities as small as these are too low to be attributable to scaling, and are conditioned by the small size of the loop. We also reflect on the physical differences between slow quenches and small rings, and derive some criteria for these differences, noting that recent work on slow quenches does not adequately explain the anomalous behaviour seen here.

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Section: More Realistic Simulations: the System In Its Environmentmentioning

confidence: 99%

Fluxoid formation: size effects and non-equilibrium universality

Weir

Rivers

2011

J. Phys.: Conf. Ser.

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“…This concept was first conceived by Kibble in his study on topology of cosmic domains and strings in the early universe [2,3], and it was later extended by Zurek [4][5][6] who suggested applying these symmetry breaking ideas to condensed matter systems, such as superconductors and superfluids. This seminal work was followed by many theoretical studies applying the KZM to cosmology, condensed matter, cold atoms and more [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In parallel, the KZM has been studied experimentally and verified in a large variety of systems, including liquid crystals [25,26], 4 He [27] and 3 He [28,29], optical Kerr media [30], Josephson junctions [31], superconducting films [32], and annealed glass [33].…”

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confidence: 99%

Quantum Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate

et al. 2016

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We observe power-law scaling of the temporal onset of excitations with quench speed in the neighborhood of the quantum phase transition between the polar and broken-axisymmetry phases in a small spin-1 ferromagnetic Bose-Einstein condensate. As the system is driven through the quantum critical point by tuning the Hamiltonian, the vanishing energy gap between the ground state and first excited state causes the reaction time scale of the system to diverge, preventing it from adiabatically following the ground state. We measure the temporal evolution of the spin populations for different quench speeds and determine the exponents characterizing the scaling of the onset of excitations, which are in good agreement with the predictions of the Kibble-Zurek mechanism.In a second-order (or continuous) quantum phase transition (QPT), a qualitative change in the system's ground state occurs at zero temperature when a parameter in the Hamiltonian is varied across a quantum critical point (QCP) [1]. Near the critical point of the transition, the time scale characterizing the dynamics of a system diverges, and the scaling of this divergence with respect to the quench speed through the phase transition is characterized by universal critical exponents. The Kibble-Zurek mechanism (KZM) as originally formulated characterizes the formation of topological defects when a system undergoes a continuous phase transition at a finite rate. This concept was first conceived by Kibble in his study on topology of cosmic domains and strings in the early universe [2,3], and it was later extended by Zurek [4][5][6] who suggested applying these symmetry breaking ideas to condensed matter systems, such as superconductors and superfluids. This seminal work was followed by many theoretical studies applying the KZM to cosmology, condensed matter, cold atoms and more [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In parallel, the KZM has been studied experimentally and verified in a large variety of systems, including liquid crystals [25,26] [33]. There has also been significant interest in the KZM in the cold atom community. In recent years, it has been observed in ion chains [34][35][36][37], in atomic gases in optical lattices [38], and in Bose-Einstein condensates (BECs), through the formation of spatial domains during condensation [39,40], vortices [41,42], creation of solitons [43] and supercurrents [44]. Only a few experiments have explored the KZM using QPTs (i.e. at zero temperature), namely an investigation of the Mott insulator to superfluid transition [45] and, in a recent preprint [46], an ion chain cooled to the ground state. There has been related work investigating universal scaling in optical lattices [47] and recently in the miscible-immiscible transition in a two-component Bose gas [48].A ferromagnetic spin-1 ( 87 Rb) BEC exhibits a QPT between a symmetric polar (P) phase and a brokenaxisymmetry (BA) phase [20,49] due to the competition between magnetic and collisional spin interaction energies. There have be...

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“…The Kibble-Zurek mechanism (KZM) [8][9][10][11][12] is a theory relating the density of defects in the broken symmetry phase to the timescale of the transition. The scaling law predicted by the KZM has been demonstrated in simulations of phase transition dynamics [13][14][15][16][17][18], and has motivated many experiments [3][4][5][6][7][19][20][21][22][23]. However, the KZM scaling of defect density with the quench rate has not been verified in the laboratory.An experiment aiming to observe the Kibble-Zurek (KZ) scaling of defect production must have good control of the progress of the system through the phase transition.…”

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confidence: 99%