Non-equilibrium steady states in quantum critical systems with Lifshitz scaling

Abstract

We study out-of-equilibrium energy transport in a quantum critical fluid with Lifshitz scaling symmetry following a local quench between two semi-infinite fluid reservoirs. The late time energy flow is universal and is accommodated via a steady state occupying an expanding central region between outgoing shock and rarefaction waves. We consider the admissibility and entropy conditions for the formation of such a non-equilibrium steady state for a general dynamical critical exponent z in arbitrary dimensions and solve the associated Riemann problem. The Lifshitz fluid with z=2 can be obtained from a Galilean boost invariant field theory and the non-equilibrium steady state is identified as a boosted thermal state. A Lifshitz fluid with generic z is scale invariant but without boost symmetry and in this case the non-equilibrium steady state is genuinely non-thermal.

arXiv comment26 pages, 8 figures

References in corpus (13)

• Newtonian Gravity and the Bargmann Algebra
• Lifshitz holography
• Perfect Fluids
• Lifshitz Hydrodynamics
• Aspects of hot Galilean field theory
• Strong coupling theory of heavy fermion criticality
• Shock waves, rarefaction waves and non-equilibrium steady states in quantum critical systems
• Holographic Renormalization for z=2 Lifshitz Space-Times from AdS
• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Relativistic Hydrodynamics and Non-Equilibrium Steady States
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
• An ansatz for one dimensional steady state configurations
• Non-equilibrium steady state in the hydro regime

Cited by in corpus (4)

• Non-Boost Invariant Fluid Dynamics
• Hydrodynamics without boosts
• Non-equilibrium steady state formation in 3+1 dimensions
• Lifshitz hydrodynamics at generic $z$ from a moving black brane