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Entanglement entropy and quantum field theory

- P. Calabrese, J. Cardy
- Physics
- 18 May 2004

We carry out a systematic study of entanglement entropy in relativistic quantum field theory. This is defined as the von Neumann entropy SA = −Tr ρAlogρA corresponding to the reduced density matrix… Expand

Evolution of entanglement entropy in one-dimensional systems

- P. Calabrese, J. Cardy
- Physics
- 16 March 2005

We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length and its complement, starting from a pure state… Expand

Entanglement entropy and conformal field theory

- P. Calabrese, J. Cardy
- Physics
- 25 May 2009

We review the conformal field theory approach to entanglement entropy in 1+1 dimensions. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and… Expand

Time dependence of correlation functions following a quantum quench.

- P. Calabrese, J. Cardy
- PhysicsPhysical review letters
- 11 January 2006

We show that the time dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some Hamiltonian and then evolves without dissipation… Expand

Quantum quenches in extended systems

- P. Calabrese, J. Cardy
- Physics
- 16 April 2007

We study in general the time evolution of correlation functions in a extended quantum system after the quench of a parameter in the Hamiltonian. We show that correlation functions in d dimensions can… Expand

Entanglement negativity in extended systems: a field theoretical approach

- P. Calabrese, J. Cardy, E. Tonni
- Mathematics, Physics
- 19 October 2012

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 ρ A T 2 ?> of the reduced density matrix… Expand

Entanglement negativity in quantum field theory.

- P. Calabrese, J. Cardy, E. Tonni
- PhysicsPhysical review letters
- 14 June 2012

TLDR

Entanglement entropy of two disjoint intervals in conformal field theory: II

- P. Calabrese, J. Cardy, E. Tonni
- Mathematics
- 2011

We continue the study of the entanglement entropy of two disjoint intervals in conformal field theories that we started in Calabrese et al 2009 J. Stat. Mech. P11001. We compute TrρAn for any integer… Expand

Entanglement and correlation functions following a local quench: a conformal field theory approach

- P. Calabrese, J. Cardy
- Physics
- 28 August 2007

We show that the dynamics resulting from preparing a one-dimensional quantum system in the ground state of two decoupled parts, then joined together and left to evolve unitarily with a translational… Expand

Entanglement entropy of two disjoint intervals in conformal field theory

- P. Calabrese, J. Cardy, E. Tonni
- Mathematics
- 13 May 2009

We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr ρAn for any integer n is calculated as the four-point function… Expand

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