Dynamical scaling symmetry and asymptotic quantum correlations for time-dependent scalar fields

SM Chandran, S Shankaranarayanan - Physical Review D, 2023 - APS
In time-independent quantum systems, entanglement entropy possesses an inherent scaling
symmetry that the energy of the system does not have. The symmetry also assures that …

Dynamics of entropy and information of time-dependent quantum systems: exact results

K Andrzejewski - Quantum Information Processing, 2022 - Springer
Dynamical aspects of information-theoretic and entropic measures of quantum systems are
studied. First, we show that for the time-dependent harmonic oscillator, as well as for the …

One-to-one correspondence between entanglement mechanics and black hole thermodynamics

SM Chandran, S Shankaranarayanan - Physical Review D, 2020 - APS
We establish a one-to-one mapping between entanglement energy, entropy, and
temperature (quantum entanglement mechanics) with Komar energy, black hole entropy …

Phase space formulation of the Abelian and non-Abelian quantum geometric tensor

D Gonzalez, D Gutiérrez-Ruiz… - Journal of Physics A …, 2020 - iopscience.iop.org
The geometry of the parameter space is encoded by the quantum geometric tensor, which
captures fundamental information about quantum states and contains both the quantum …

Geometry of the parameter space of a quantum system: Classical point of view

J Alvarez‐Jimenez, D Gonzalez… - Annalen der …, 2020 - Wiley Online Library
The local geometry of the parameter space of a quantum system is described by the
quantum metric tensor and the Berry curvature, which are two fundamental objects that play …

Universal finite-size amplitude and anomalous entanglement entropy of quantum Lifshitz criticalities in topological chains

K Wang, T Sedrakyan - SciPost Physics, 2022 - scipost.org
We consider Lifshitz criticalities with dynamical exponent $ z= 2$ that emerge in a class of
topological chains. There, such a criticality plays a fundamental role in describing transitions …

Effects of coupling with a quantum oscillator on time-evolution of uncertainties of a quantum particle and entanglement entropy

PS He - Modern Physics Letters B, 2023 - World Scientific
The time evolution of a quantum particle's product of uncertainties in position and
momentum is calculated when it is coupled with an external source. We have used a simple …

Time-convolutionless cosmological master equations: Late-time resummations and decoherence for non-local kernels

S Brahma, J Calderón-Figueroa, X Luo - arXiv preprint arXiv:2407.12091, 2024 - arxiv.org
We revisit a simple toy model of two scalar fields in de Sitter space, playing the roles of"
system" and" environment" degrees of freedom, which interact with each other. We show that …

Horizon entanglement area law from regular black hole thermodynamics

A Belfiglio, SM Chandran, O Luongo… - arXiv preprint arXiv …, 2024 - arxiv.org
We investigate the thermodynamics of regular black hole configurations via quantum
analogs of entropy and energy--namely, the entanglement entropy and entanglement …

Tomographic entanglement indicators in a coupled oscillator model

S Pillai, S Ramanan, V Balakrishnan… - Canadian Journal of …, 2024 - cdnsciencepub.com
We study entanglement in a simple model comprising two coupled linear harmonic
oscillators of the same natural frequency. The system is separable in the center of mass …