Complexity and scaling in quantum quench in $1+1$ dimensional fermionic field theories

Abstract

We consider the scaling behavior of circuit complexity under quantum quench in an a relativistic fermion field theory on a one dimensional spatial lattice. This is done by finding an exactly solvable quench protocol which asymptotes to massive phases at early and late times and crosses a critical point in between. We find a variety of scaling behavior as a function of the quench rate, starting with a saturation for quenches at the lattice scale, a "fast quench scaling" at intermediate rate and a Kibble Zurek scaling at slow rates.

arXiv comment22 pages, 6 figures; version accepted for publication in JHEP

References in corpus (40)

• Nonequilibrium dynamics of closed interacting quantum systems
• Complexity Equals Action
• Complexity and Shock Wave Geometries
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Complexity, action, and black holes
• Circuit complexity in quantum field theory
• Towards Complexity for Quantum Field Theory States
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• On the Time Dependence of Holographic Complexity
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Circuit Complexity in Fermionic Field Theory
• Complexity and entanglement for thermofield double states
• Circuit complexity for free fermions
• Circuit complexity in interacting QFTs and RG flows
• Circuit Complexity for Coherent States
• Complexity as a novel probe of quantum quenches: universal scalings and purifications
• Path-Integral Complexity for Perturbed CFTs
• Defect formation beyond Kibble-Zurek mechanism and holography
• Quantum quenches of holographic plasmas
• Thermal quenches in N=2* plasmas
• Universal scaling in fast quantum quenches in conformal field theories
• Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game -
• Universality of Abrupt Holographic Quenches
• Universality in fast quantum quenches
• Principles and symmetries of complexity in quantum field theory
• Complexity of the AdS Soliton
• Evolution of complexity following a quantum quench in free field theory
• Smooth and fast versus instantaneous quenches in quantum field theory
• Circuit Complexity for Fermionic Thermofield Double states
• Quantum Quench and Scaling of Entanglement Entropy
• Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
• More on complexity of operators in quantum field theory
• Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate
• Thoughts on Holographic Complexity and its Basis-dependence
• An exactly solvable quench protocol for integrable spin models
• Complexity of operators generated by quantum mechanical Hamiltonians
• Universality of fast quenches from the conformal perturbation theory
• On fast quenches and spinning correlators
• On quantum quenches at one loop

Cited by in corpus (7)

• Quantum complexity and topological phases of matter
• Geometry and Complexity of Path Integrals in Inhomogeneous CFTs
• Complexity and Floquet dynamics: non-equilibrium Ising phase transitions
• Quantum Quench in Non-relativistic Fermionic Field Theory: Harmonic traps and 2d String Theory
• Circuit Complexity of Knot States in Chern-Simons theory
• Circuit complexity near critical points
• Evolution of circuit complexity in a harmonic chain under multiple quenches