Universal scaling in quenches across a discontinuity critical point

Abstract

We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We obtain the universal scaling relations of the density of defects and the residual energy after a temporal quench, while we also unravel the scaling of the characteristic length scale associated with a spatial quench of a symmetry breaking field. Considering a spin-1/2 XXZ chain we establish how these scaling relations get modified when the DCP is located at the boundary of a gapless critical phase; these predictions are also confirmed numerically.

7 pages, 4 figures, including supplemental material

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Cited by in corpus (9)

• Off-equilibrium scaling behaviors across first-order transitions
• Renormalization-group theory for cooling first-order phase transitions in Potts models
• Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
• Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
• Spatial Kibble-Zurek mechanism through susceptibilities: the inhomogeneous quantum Ising model case
• Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction
• Dynamics of a Nonequilibrium Discontinuous Quantum Phase Transition in a Spinor Bose-Einstein Condensate
• Driven Critical Dynamics in Tricitical Point
• Half Landau-Zener ramp to a quantum phase transition in a dissipative single spin sodel