On volume subregion complexity in Vaidya spacetime

Auzzi, Roberto; Nardelli, Giuseppe; Massolo, Fidel I. Schaposnik; Tallarita, Gianni; Zenoni, Nicolò

doi:10.1007/jhep11(2019)098

Cited by 39 publications

(36 citation statements)

References 74 publications

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“…The study of the effects of the boundaries on the complexity deserves further analysis. Interesting directions concern scenarios involving higher dimensions [20], non trivial time dependence [12,36,62,63], mixed states [55] and the role of spacetime singularities [64][65][66]. It is also interesting to explore the effects of the boundaries in the connections between complexity with the laws of thermodynamics [67,68].…”

Section: Discussionmentioning

confidence: 99%

Complexity in the presence of a boundary

Paolo

Cotrone

Tonni

2020

J. High Energ. Phys.

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The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual of the complexity, including the "Complexity = Volume" (CV) and "Complexity = Action" (CA) prescriptions, and in the harmonic chain with Dirichlet boundary conditions. In all the cases considered except for CA, the boundary introduces a subleading logarithmic divergence in the expansion of the complexity as the UV cutoff vanishes. Holographic subregion complexity is also explored in the CV case, finding that it can change discontinuously under continuous variations of the configuration of the subregion.

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Section: Discussionmentioning

confidence: 99%

Complexity in the presence of a boundary

Paolo

Cotrone

Tonni

2020

J. High Energ. Phys.

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“…The analysis reported in this manuscript in the simple setup of bosonic Gaussian states can be extended in various directions. For instance, it is a straightforward application to study the C 2 circuit complexity in harmonic lattices in the presence of boundary, defects [24,37,41] or in time dependent scenarios [36,[160][161][162].…”

Section: Jhep12(2020)101mentioning

confidence: 99%

Complexity of mixed Gaussian states from Fisher information geometry

Giulio

Tonni

2020

J. High Energ. Phys.

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We study the circuit complexity for mixed bosonic Gaussian states in harmonic lattices in any number of dimensions. By employing the Fisher information geometry for the covariance matrices, we consider the optimal circuit connecting two states with vanishing first moments, whose length is identified with the complexity to create a target state from a reference state through the optimal circuit. Explicit proposals to quantify the spectrum complexity and the basis complexity are discussed. The purification of the mixed states is also analysed. In the special case of harmonic chains on the circle or on the infinite line, we report numerical results for thermal states and reduced density matrices.

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“…This implies that we may obtain richer physical information by using the HSC as a probe to study the phase transition. We noticed that, based on the definition of the subregion CV conjecture, the time evolution of HSC under a quench in the normal state has been studied in [55][56][57][58][59].…”

Section: Summary and Discussionmentioning

confidence: 99%

Holographic subregion complexity in metal/superconductor phase transition with Born–Infeld electrodynamics

2020

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We investigate the holographic subregion complexity (HSC) and compare it with the holographic entanglement entropy (HEE) in the metal/superconductor phase transition for the Born–Infeld (BI) electrodynamics with full backreaction. Based on the subregion CV conjecture, we find that the universal terms of HSC remain finite during phase transitions, and the HSC is a good probe to the critical temperature in the holographic superconducting system. Furthermore, we observe that for the operator $$\mathcal {O}_{+}$$ O + , the HSC of the superconducting phase decreases first and then increases as the BI parameter increases, which is completely different from that of HEE, and the value of the BI parameter corresponding to the inflection point of HSC is larger than that of HEE. But for the operator $$\mathcal {O}_{-}$$ O - , the HSC increases monotonically as the BI parameter increases, which is similar to that of HEE.

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On volume subregion complexity in Vaidya spacetime

Cited by 39 publications

References 74 publications

Complexity in the presence of a boundary

Complexity in the presence of a boundary

Complexity of mixed Gaussian states from Fisher information geometry

Holographic subregion complexity in metal/superconductor phase transition with Born–Infeld electrodynamics

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