Entanglement negativity after a global quantum quench

By Andrea Coser, E. Tonni, Pasquale Calabrese. 2014

159 citations recorded by the source corpus.

We study the time evolution of the logarithmic negativity after a global quantum quench. In a 1 + 1-dimensional conformal invariant field theory, we consider the negativity between two intervals which can be either adjacent or disjoint. We show that the negativity follows the quasi-particle interpretation for the spreading of entanglement. We check and generalise our findings with a systematic analysis of the negativity after a quantum quench in the harmonic chain, highlighting two peculiar lattice effects: the late birth and the sudden death of entanglement.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/a31269574cf50e830ce5643786258a31a1e5e22f

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

1. E. Tonni
2. R. Myers
3. Pasquale Calabrese
4. J. Cardy
5. J. Dubail
6. V. Alba
7. T. Takayanagi
8. Shan-Ming Ruan

In Atomic and Molecular Physics, and Optics

1. Pasquale Calabrese
2. E. Tonni
3. R. Myers
4. J. Cardy
5. J. Dubail
6. V. Alba
7. T. Takayanagi
8. H. Chen

In Condensed Matter Physics

1. E. Tonni
2. Pasquale Calabrese
3. J. Cardy
4. R. Myers
5. J. Dubail
6. V. Alba
7. H. Chen
8. Shan-Ming Ruan

Citations in the corpus

• Quantum quenches in 1  +  1 dimensional conformal field theories (2016, background): “Equation (18) has been checked numerically against exact results in the critical harmonic chain [51] finding excellent agreement.”
• Entanglement dynamics after quantum quenches in generic integrable systems (2017, background): “A similar slow decay has been numerically observed in free bosonic models [84].”
• Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1  +  1d (2016, methodology): “It is then straightforward to adapt the calculation of [70] to the OSEE.”
• Information flow in black hole evaporation (2019, methodology): “The calculation of the entanglement entropy can then be carried out using replica techniques [44–46].”
• Finite temperature entanglement negativity in conformal field theory (2014, methodology): “art B has been previously traced out. This method allowed the description of ground-states of CFTs [16,17,18,19,20,21], systems with topological order [22,23] and also some non-equilibrium situations [24,25,26]. These studies also allowed a refined understanding of numerical and analytic computations”