Entanglement entropy in extended quantum systems

By J. Cardy. 2007

228 citations recorded by the source corpus.

After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of freedom in different regions of space. Close to a quantum phase transition it has universal features which serve as a diagnostic of such phenomena. In the second part I consider the unitary time evolution of such systems following a ‘quantum quench’ in which a parameter in the Hamiltonian is suddenly changed, and argue that finite regions should effectively thermalise at late times, after interesting transient effects.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4089648b26c6099b64fdf4452755f7f80912df03

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases (2016, methodology): “Indeed, entanglement entropies are usually difficult to compute in microscopic models [24, 25], but their scaling limit is obtained within the powerful CFT approach by solving elementary exercises on Riemann surfaces [21].”
Entanglement entropy and conformal field theory (2009, unknown): “However, calculating the full reduced density matrix for a generic interacting quantum field theory remains a daunting challenge from an operational point of view, and so here we will take a different route, following our previous papers [3, 11, 12, 13].”
Symmetry resolved entanglement in free fermionic systems (2019, background): “Nowadays a lot has been understood in the context of low-dimensional many body quantum systems, both from the theoretical side [1–4] and, more recently, also experimentally [5–8].”