6533b828fe1ef96bd1287a75
RESEARCH PRODUCT
Irreversible work versus fidelity susceptibility for infinitesimal quenches
Tony J. G. ApollaroTony J. G. ApollaroTony J. G. ApollaroSimone Paganellisubject
PhysicsQuantum phase transition---Quantum PhysicsWork (thermodynamics)Statistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesStatistical and Nonlinear PhysicsCondensed Matter Physics01 natural sciences010305 fluids & plasmasExcited state0103 physical sciencesQuantum systemStatistical physicsQuantum informationQuantum Physics (quant-ph)010306 general physicsGround stateScalingQuantumCondensed Matter - Statistical Mechanicsdescription
We compare the irreversible work produced in an infinitesimal sudden quench of a quantum system at zero temperature with its ground state fidelity susceptibility, giving an explicit relation between the two quantities. We find that the former is proportional to the latter but for an extra term appearing in the irreversible work which includes also contributions from the excited states. We calculate explicitly the two quantities in the case of the quantum Ising chain, showing that at criticality they exhibit different scaling behaviors. The irreversible work, rescaled by square of the quench’s amplitude, exhibits a divergence slower than that of the fidelity susceptibility. As a consequence, the two quantities obey also different finite-size scaling relations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-10-09 | International Journal of Modern Physics B |