Quantum phase transition in space in a ferromagnetic spin-1 Bose-Einstein condensate

Abstract

A quantum phase transition between the symmetric (polar) phase and the phase with broken symmetry can be induced in a ferromagnetic spin-1 Bose-Einstein condensate in space (rather than in time). We consider such a phase transition and show that the transition region in the vicinity of the critical point exhibits scalings that reflect a compromise between the rate at which the transition is imposed (i.e., the gradient of the control parameter) and the scaling of the divergent healing length in the critical region. Our results suggest a method for the direct measurement of the scaling exponent nu.

8 pages & 2 figures, to appear in NJP, lots of tiny improvements, more references, explicit derivation of the divergent healing length, same as before conclusions

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Cited by in corpus (18)

• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
• Winding up superfluid in a torus via Bose Einstein condensation
• Space-time renormalization in phase transition dynamics
• Exploring the Kibble-Zurek mechanism with homogeneous Bose gases
• Critical quench dynamics in confined systems
• Quantum Quench and Scaling of Entanglement Entropy
• Dynamical critical scaling and effective thermalization in quantum quenches: the role of the initial state
• Disorder-Induced Order in Quantum XY Chains
• Spin dynamics and domain formation of a spinor Bose-Einstein condensate in an optical cavity
• Causality and defect formation in the dynamics of an engineered quantum phase transition in a coupled binary Bose-Einstein condensate
• Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Universal scaling in quenches across a discontinuity critical point
• Spatiotemporal Quenches in Long-Range Hamiltonians
• Coleman-Weinberg mechanism in spinor Bose-Einstein condensates