Circuit complexity as a novel probe of quantum entanglement: A study with black hole gas in arbitrary dimensions

Using the toroidal compactification of string theory on [Formula: see text]-dimensional tori, [Formula: see text], we investigate dyonic objects in arbitrary dimensions. First, we present a class of dyonic black solutions formed by two different D-branes using a correspondence between toroidal cycles and objects possessing both magnetic and electric charges, belonging to [Formula: see text] dyonic gauge symmetry. This symmetry could be associated with electrically charged magnetic monopole solutions in stringy model buildings of the standard model (SM) extensions. Then, we consider in some detail such black hole classes obtained from even-dimensional toroidal compactifications, and we find that they are linked to [Formula: see text] Clifford algebras using the vee product. It is believed that this analysis could be extended to dyonic objects which can be obtained from local Calabi–Yau manifold compactifications.

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More on extracting information about the initial state from the black hole radiation

Modern Physics Letters A ◽

10.1142/s0217732318501080 ◽

2018 ◽

Vol 33 (19) ◽

pp. 1850108

Author(s):

Hossein Ghaforyan ◽

Somayyeh Shoorvazi ◽

Alireza Sepehri ◽

Tooraj Ghaffary

Keyword(s):

Black Holes ◽

Black Hole ◽

Density Matrix ◽

Quantum Entanglement ◽

Event Horizon ◽

Initial State ◽

Black Hole Radiation ◽

Total Information ◽

Quantum Treatment ◽

Collapse Process

Recently, some authors showed that a classical collapse scenario ignores this richness of information in the resulting spectrum and a consistent quantum treatment of the entire collapse process might allow us to retrieve much more information from the spectrum of the final radiation. We confirm these results and show that by considering the quantum entanglement between metrics, we can uncover information of black holes. In our model, a density matrix is defined for the spaces, both inside and outside of the event horizon. These inside and outside spaces of black holes are obtained by tracing from a bigger space. An observer that lives in this big space can recover total information regarding the inside and outside of black hole.

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Quantum entanglement produced in the formation of a black hole

Physical Review D ◽

10.1103/physrevd.82.064028 ◽

2010 ◽

Vol 82 (6) ◽

Cited By ~ 36

Author(s):

Eduardo Martín-Martínez ◽

Luis J. Garay ◽

Juan León

Keyword(s):

Black Hole ◽

Quantum Entanglement

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Circuit Complexity from Cosmological Islands

Symmetry ◽

10.3390/sym13071301 ◽

2021 ◽

Vol 13 (7) ◽

pp. 1301

Author(s):

Sayantan Choudhury ◽

Satyaki Chowdhury ◽

Nitin Gupta ◽

Anurag Mishara ◽

Sachin Panneer Selvam ◽

...

Keyword(s):

Black Hole ◽

Parameter Space ◽

Entanglement Entropy ◽

Cosmological Solution ◽

Circuit Complexity ◽

Space Time ◽

De Sitter ◽

Squeezed State ◽

Black Hole Information ◽

Made In

Recently, in various theoretical works, path-breaking progress has been made in recovering the well-known page curve of an evaporating black hole with quantum extremal islands, proposed to solve the long-standing black hole information loss problem related to the unitarity issue. Motivated by this concept, in this paper, we study cosmological circuit complexity in the presence (or absence) of quantum extremal islands in negative (or positive) cosmological constant with radiation in the background of Friedmann-Lemai^tre-Robertson-Walker (FLRW) space-time, i.e., the presence and absence of islands in anti de Sitter and the de Sitter space-time having SO(2, 3) and SO(1, 4) isometries, respectively. Without using any explicit details of any gravity model, we study the behavior of the circuit complexity function with respect to the dynamical cosmological solution for the scale factors for the above mentioned two situations in FLRW space-time using squeezed state formalism. By studying the cosmological circuit complexity, out-of-time ordered correlators, and entanglement entropy of the modes of the squeezed state, in different parameter space, we conclude the non-universality of these measures. Their remarkably different features in the different parameter space suggests their dependence on the parameters of the model under consideration.

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Quantum entanglement of Dirac field in background of an asymptotically flat static black hole

Quantum Information and Computation ◽

10.26421/qic10.11-12-5 ◽

2010 ◽

Vol 10 (11&12) ◽

pp. 947-955

Author(s):

Jieci Wang ◽

Qiyuan Pan ◽

Songbai Chen ◽

Jiliang Jing

Keyword(s):

Black Hole ◽

Mutual Information ◽

Quantum Entanglement ◽

Hawking Temperature ◽

Universal Property ◽

Dirac Field ◽

Initial Value ◽

Asymptotically Flat ◽

Static Black Hole ◽

Bosonic Case

The entanglement of the Dirac field in the asymptotically flat black hole is investigated. Unlike the bosonic case in which the initial entanglement vanishes in the limit of infinite Hawking temperature, in this case the entanglement achieves a nonvanishing minimum values, which shows that the entanglement is never completely destroyed when black hole evaporates completely. Another interesting result is that the mutual information in this limit equals to just half of its own initial value, which may be an universal property for any fields.

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BRANE WORLD IN A TOPOLOGICAL BLACK HOLE BULK

Modern Physics Letters A ◽

10.1142/s0217732301005254 ◽

2001 ◽

Vol 16 (29) ◽

pp. 1887-1894 ◽

Cited By ~ 17

Author(s):

DANNY BIRMINGHAM ◽

MASSIMILIANO RINALDI

Keyword(s):

Black Hole ◽

Brane World ◽

Black Hole Mass ◽

Large Black Hole ◽

Massless Mode ◽

Arbitrary Dimensions

We consider a static brane in the background of a topological black hole in arbitrary dimensions. For hyperbolic horizons, we find a solution only when the black hole mass assumes its minimum negative value. In this case, the tension of the brane vanishes, and the brane position coincides with the location of the horizon. For an elliptic horizon, we show that the massless mode of Randall–Sundrum is recovered in the limit of large black hole mass.

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Circuit Complexity from Cosmological Islands

10.20944/preprints202105.0626.v1 ◽

2021 ◽

Author(s):

Sayantan Choudhury ◽

Satyaki Chowdhury ◽

Sudhakar Panda ◽

Abinash Swain ◽

Nitin Gupta ◽

...

Keyword(s):

Black Hole ◽

Parameter Space ◽

Entanglement Entropy ◽

Cosmological Solution ◽

Circuit Complexity ◽

Space Time ◽

Squeezed State ◽

Positive Cosmological Constant ◽

Black Hole Information ◽

Made In

Recently in various theoretical works, path-breaking progress has been made in recovering the well-known Page Curve of an evaporating black hole with Quantum Extremal Islands, proposed to solve the long-standing black hole information loss problem related to the unitarity issue. Motivated by this concept, in this paper, we study cosmological circuit complexity in the presence (or absence) of Quantum Extremal Islands in negative (or positive) Cosmological Constant with radiation in the background of Friedmann-Lemaî tre-Robertson-Walker (FLRW) space-time. Without using any explicit details of any gravity model, we study the behaviour of the circuit complexity function with respect to the dynamical cosmological solution for the scale factors for the above mentioned two situations in FLRW space-time using squeezed state formalism. By studying the cosmological circuit complexity, Out-of-Time Ordered Correlators, and entanglement entropy of the modes of the squeezed state, in different parameter space, we conclude the non-universality of these measures. Their remarkably different features in the different parameter space suggests their dependence on the parameters of the model under consideration.

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