Entanglement negativity in extended systems: A field theoretical approach

P Calabrese, J Cardy, E Tonni - Journal of Statistical Mechanics …, 2013 - iopscience.iop.org
We report on a systematic approach for the calculation of the negativity in the ground state of
a one-dimensional quantum field theory. The partial transpose ${\rho} _ {A}^{{T} _ {2}} $ of …

Finite temperature entanglement negativity in conformal field theory

P Calabrese, J Cardy, E Tonni - Journal of Physics A …, 2014 - iopscience.iop.org
We consider the logarithmic negativity of a finite interval embedded in an infinite one
dimensional system at finite temperature. We focus on conformal invariant systems and we …

On entanglement hamiltonians of an interval in massless harmonic chains

G Di Giulio, E Tonni - Journal of Statistical Mechanics: Theory …, 2020 - iopscience.iop.org
We study the continuum limit of the entanglement Hamiltonians of a block of consecutive
sites in massless harmonic chains. This block is either in the chain on the infinite line or at …

Entanglement entropies of an interval for the massless scalar field in the presence of a boundary

B Estienne, Y Ikhlef, A Rotaru, E Tonni - Journal of High Energy Physics, 2024 - Springer
A bstract We study the entanglement entropies of an interval for the massless compact
boson either on the half line or on a finite segment, when either Dirichlet or Neumann …

A contour for the entanglement entropies in harmonic lattices

A Coser, C De Nobili, E Tonni - Journal of Physics A …, 2017 - iopscience.iop.org
We construct a contour function for the entanglement entropies in generic harmonic lattices.
In one spatial dimension, numerical analysis are performed by considering harmonic chains …

Dynamics of large deviations in the hydrodynamic limit: Noninteracting systems

G Perfetto, A Gambassi - Physical Review E, 2020 - APS
We study the dynamics of the statistics of the energy transferred across a point along a
quantum chain which is prepared in the inhomogeneous initial state obtained by joining two …

The interacting multiverse and its effect on the cosmic microwave background

M Bouhmadi-López, M Krämer, J Morais… - … of Cosmology and …, 2019 - iopscience.iop.org
We study a toy model of a multiverse consisting of canonically quantized universes that
interact with each other on a quantum level based on a field-theoretical formulation of the …

Interacting universes and the cosmological constant

A Alonso-Serrano, C Bastos, O Bertolami… - Physics Letters B, 2013 - Elsevier
In this Letter it is studied the effects that an interaction scheme among universes can have in
the values of their cosmological constants. In the case of two interacting universes, the value …

Wigner oscillators, twisted Hopf algebras, and second quantization

PG Castro, B Chakraborty, F Toppan - Journal of mathematical physics, 2008 - pubs.aip.org
By correctly identifying the role of the central extension in the centrally extended Heisenberg
algebra h⁠, we show that it is indeed possible to construct a Hopf algebraic structure on the …

Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction

G Regniers, J Van der Jeugt - Journal of Physics A: Mathematical …, 2009 - iopscience.iop.org
We consider quantum systems consisting of a linear chain of n harmonic oscillators coupled
by a nearest-neighbour interaction of the form (refers to the position of the rth oscillator). In …