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

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Kiran Adhikari ◽  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
K. Shirish ◽  
Abinash Swain
Keyword(s):  
Black Hole ◽  
Quantum Entanglement ◽  
Circuit Complexity ◽  
Arbitrary Dimensions

scholarly journals Stringy dyonic solutions and clifford structures

2019 ◽  
Vol 16 (09) ◽  
pp. 1950138
Author(s):  
A. Belfakir ◽  
A. belhaj ◽  
Y. El Maadi ◽  
S. E. Ennadifi ◽  
Y. Hassouni ◽  
...  
Keyword(s):  
Black Hole ◽  
Gauge Symmetry ◽  
Standard Model ◽  
Clifford Algebras ◽  
Magnetic Monopole ◽  
Toroidal Compactifications ◽  
The Standard Model ◽  
Arbitrary Dimensions ◽  
Electrically Charged ◽  
Clifford Structures

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.

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

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.

scholarly journals Quantum entanglement produced in the formation of a black hole

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
Eduardo Martín-Martínez ◽  
Luis J. Garay ◽  
Juan León
Keyword(s):  
Black Hole ◽  
Quantum Entanglement

scholarly journals Circuit Complexity from Cosmological Islands

Symmetry ◽  
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.

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

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.

scholarly journals BRANE WORLD IN A TOPOLOGICAL BLACK HOLE BULK

2001 ◽  
Vol 16 (29) ◽  
pp. 1887-1894 ◽  
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.

scholarly journals Circuit Complexity from Cosmological Islands

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.

scholarly journals Cloning quantum entanglement in arbitrary dimensions

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
E. Karpov ◽  
P. Navez ◽  
N. J. Cerf
Keyword(s):  
Quantum Entanglement ◽  
Arbitrary Dimensions

scholarly journals Unveiling quantum entanglement degradation near a Schwarzschild black hole

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
Eduardo Martín-Martínez ◽  
Luis J. Garay ◽  
Juan León
Keyword(s):  
Black Hole ◽  
Quantum Entanglement ◽  
Schwarzschild Black Hole
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