Anomalous non-ergodic scaling in adiabatic multicritical quantum quenches
arXiv:0908.4590 · doi:10.1103/PhysRevB.80.241109
Abstract
We investigate non-equilibrium dynamical scaling in adiabatic quench processes across quantum multicritical points. Our analysis shows that the resulting power-law scaling depends sensitively on the control path, and that anomalous critical exponents may emerge depending on the universality class. We argue that the observed anomalous behavior originates in the fact that the dynamical excitation process takes place asymmetrically with respect to the static multicritical point, and that non-critical energy modes may play a dominant role. As a consequence, dynamical scaling requires introducing new non-static exponents.
4 pages, 4 figures, minor change in figure 2
References in corpus (15)
- Universal adiabatic dynamics across a quantum critical point
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Defect production in non-linear quench across a quantum critical point
- Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
- Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
- Optimal non-linear passage through a quantum critical point
- Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
- Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
- Quench dynamics and defect production in the Kitaev and extended Kitaev models
- Defect production due to quenching through a multicritical point
- Theory of defect production in nonlinear quench across a quantum critical point
- Adiabatic quenches through an extended quantum critical region
- Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
- Robustness of adiabatic passage trough a quantum phase transition
Cited by in corpus (31)
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Long-range interacting quantum systems
- Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
- Quenches and dynamical phase transitions in a non-integrable quantum Ising model
- Coherent and dissipative dynamics at quantum phase transitions
- Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
- Phase diagram and quench dynamics of the Cluster-XY spin chain
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Tuning the presence of dynamical phase transitions in a generalized spin chain
- Oscillating fidelity susceptibility near a quantum multicritical point
- The scaling of the decoherence factor of a qubit coupled to a spin chain driven across quantum critical points
- Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
- Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems
- Study of Loschmidt Echo for a qubit coupled to an XY-spin chain environment
- Dynamical critical scaling and effective thermalization in quantum quenches: the role of the initial state
- Causality and defect formation in the dynamics of an engineered quantum phase transition in a coupled binary Bose-Einstein condensate
- Quantum quench spectroscopy of a Luttinger liquid: Ultrarelativistic density wave dynamics due to fractionalization in an XXZ chain
- Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of z > 1 dynamical exponent
- Static and dynamical quantum correlations in phases of an alternating field XY model
- Quenching Dynamics and Quantum Information
- Quantum Discord in a spin-1/2 transverse XY Chain Following a Quench
- Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
- Fermion- and spin-counting in strongly correlated systems in and out of thermal equilibrium
- Fidelity susceptibility and Loschmidt echo for generic paths in a three spin interacting transverse Ising model
- Work statistics across a quantum critical surface
- Tricritical Kibble-Zurek scaling in Rydberg atom ladders
- Exploring Dynamical Phase Transitions in the XY Chain through Linear Quench: Early and Long-term Perspectives
- Path dependent scaling of geometric phase near a quantum multi-critical point
- Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings
- Driven Critical Dynamics in Tricitical Point
- Half Landau-Zener ramp to a quantum phase transition in a dissipative single spin sodel