Work statistics across a quantum critical surface

Abstract

We study the universality of work statistics of a system quenched through a quantum critical surface. By using the adiabatic perturbation theory, we obtain the general scaling behavior for all cumulants of work. These results extend the studies of Kibble-Zurek mechanism scaling of work statistics from an isolated quantum critical point to a critical surface. As an example, we study the scaling behavior of work statistics in the two-dimensional (2D) Kitaev honeycomb model featured with a critical line. By utilizing the trace formula for quadratic fermionic Hamiltonian, we obtain the exact characteristic function of work of the 2D Kitaev model at zero temperature. The results confirm our prediction.

References in corpus (21)

• Many-Body Physics with Ultracold Gases
• Universal adiabatic dynamics across a quantum critical point
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Ultracold atoms out of equilibrium
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Defect production in non-linear quench across a quantum critical point
• Exact results for quench dynamics and defect production in a two-dimensional model
• Optimal non-linear passage through a quantum critical point
• 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
• Topological surface superconductivity in doped Weyl loop materials
• Microscopic expression for the heat in the adiabatic basis
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Group-theoretical approach to the calculation of quantum work distribution
• Statistics of work distribution in periodically driven closed quantum systems
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation

Cited by in corpus (3)

• Speeding up quantum adiabatic processes with dynamical quantum geometric tensor
• Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations
• Quantum fluctuation theorem for initial near-equilibrium system