2007
DOI: 10.1088/1126-6708/2007/04/086
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Entanglement and nonunitary evolution

Abstract: We consider a collapsing relativistic spherical shell for a free quantum field. Once the center of the wavefunction of the shell passes a certain radius r s , the degrees of freedom inside r s are traced over. We show that an observer outside this region will determine that the evolution of the system is nonunitary. We argue that this phenomenon is generic to entangled systems, and discuss a possible relation to black hole physics.

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Cited by 19 publications
(14 citation statements)
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“…Although within critical string theory, arguments have been given that entanglement entropy can characterise the number of microstates of Anti-de-Sitter black holes [10], we do not find these to be entirely convincing.…”
Section: Introductioncontrasting
confidence: 85%
“…Although within critical string theory, arguments have been given that entanglement entropy can characterise the number of microstates of Anti-de-Sitter black holes [10], we do not find these to be entirely convincing.…”
Section: Introductioncontrasting
confidence: 85%
“…An interesting issue discussed in the literature is the time evolution of entanglement entropy. It was suggested in [26] that the eigenvalues of a reduced density matrix depend on time t. This is not possible if the time evolution of the density matrix is described by an unitary operator. Thus the time evolution should be nonunitary.…”
Section: Non-unitary Time Evolutionmentioning
confidence: 99%
“…In other words, this result shows that close to the singularity the system defined by the 2d worldsheet quantum field theory is led to another representation of the canonical commutation JHEP07(2020)102 relations, which is unitarily inequivalent to the representation at τ = ∞. This is typical of entanglement states, as show in [62], but also is a general characteristic of quantum dissipative theories [63,64] and thermal theories [56,57]. In all these scenarios the non unitary evolution seems to be generated by the same kind of entropy operator.…”
Section: Entropy Operatormentioning
confidence: 57%