Holographic subregion complexity under a thermal quench in an Einstein-Maxwell-axion theory with momentum relaxation

We study the temporal evolution of the circuit complexity for a subsystem in harmonic lattices after a global quantum quench of the mass parameter, choosing the initial reduced density matrix as the reference state. Upper and lower bounds are derived for the temporal evolution of the complexity for the entire system. The subsystem complexity is evaluated by employing the Fisher information geometry for the covariance matrices. We discuss numerical results for the temporal evolutions of the subsystem complexity for a block of consecutive sites in harmonic chains with either periodic or Dirichlet boundary conditions, comparing them with the temporal evolutions of the entanglement entropy. For infinite harmonic chains, the asymptotic value of the subsystem complexity is studied through the generalised Gibbs ensemble.

Section: Jhep05(2021)022mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Subsystem complexity after a global quantum quench

Giulio

Tonni

2021

“…Let us conclude our discussion by mentioning some results about the temporal evolutions of the subsystem complexity obtained within the gauge/gravity correspondence [67][68][69][70]85].…”

Section: Jhep08(2021)135mentioning

confidence: 96%

“…It is worth investigating the temporal evolutions of the circuit complexity for the entire system and of the subsystem complexity after different quantum quenches. For some global quenches, holographic prescriptions have been employed to determine numerically the temporal evolutions of the complexity for the entire system [64][65][66] and of the subsystem complexity [67][68][69][70]. In free lattice models, the temporal evolutions of the complexity after some global quenches have been studied, both for the entire system [71][72][73][74][75][76] and for subsystems [72,76,77].…”

Section: Jhep08(2021)135mentioning

confidence: 99%

Subsystem complexity after a local quantum quench

Giulio

Tonni

2021

We study the temporal evolution of the circuit complexity after the local quench where two harmonic chains are suddenly joined, choosing the initial state as the reference state. We discuss numerical results for the complexity for the entire chain and the subsystem complexity for a block of consecutive sites, obtained by exploiting the Fisher information geometry of the covariance matrices. The qualitative behaviour of the temporal evolutions of the subsystem complexity depends on whether the joining point is inside the subsystem. The revivals and a logarithmic growth observed during these temporal evolutions are discussed. When the joining point is outside the subsystem, the temporal evolutions of the subsystem complexity and of the corresponding entanglement entropy are qualitatively similar.

“…According to the holographic dictionary and standard quantization, the leading order φ I (0) (t, x i ) = αx I = 0 plays the role of external source that breaks translations explicitly, relaxing the momentum on the field theory side. Further properties and applications in holography have been widely investigated in [18,22,[44][45][46][47][48].…”

Section: )mentioning

confidence: 99%

Holographic phonons by gauge-axion coupling

Wang

2021

In this paper, we show that a simple generalization of the holographic axion model can realize spontaneous breaking of translational symmetry by considering a special gauge-axion higher derivative term. The finite real part and imaginary part of the stress tensor imply that the dual boundary system is a viscoelastic solid. By calculating quasi-normal modes and making a comparison with predictions from the elasticity theory, we verify the existence of phonons and pseudo-phonons, where the latter is realized by introducing a weak explicit breaking of translational symmetry, in the transverse channel. Finally, we discuss how the phonon dynamics affects the charge transport.