Evolution of entanglement after a local quench

By V. Eisler, I. Peschel. 2007

140 citations recorded by the source corpus.

We study free electrons on an infinite half-filled chain, starting in the ground state with a bond defect. We find a logarithmic increase of the entanglement entropy after the defect is removed, followed by a slow relaxation towards the value of the homogeneous chain. The coefficients depend continuously on the defect strength.

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

View Paper: https://www.semanticscholar.org/paper/4a56f55a9f1e7829602566707397e773e4a546fe

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. Pasquale Calabrese
2. T. Nishioka
3. J. Cardy
4. Thomas Hartman
5. M. Fagotti
6. V. Alba
7. N. Laflorencie
8. E. Tonni

In Condensed Matter Physics

1. Pasquale Calabrese
2. J. Cardy
3. T. Nishioka
4. Thomas Hartman
5. M. Fagotti
6. V. Alba
7. N. Laflorencie
8. E. Tonni

Citations in the corpus

• Entanglement entropy of excited states (2009, background): “In contrast, in local quantum quenches the asymptotic state displays a logarithmic entanglement entropy [27] and a different class of states should be relevant.”
• Quantum quenches in 1  +  1 dimensional conformal field theories (2016, background): “This long-time ln t behaviour has been analytically and numerically observed many different models in the cut and glue scenario [188, 189, 190, 191, 192, 193].”
• Evolution of holographic entanglement entropy after thermal and electromagnetic quenches (2010, background): “l quench for the disc. In line with the discussion in section 3.1, 3Logarithm growth of entanglement entropy has been observed in (1+1){dimensional systems quenched with an external eld (see e.g. ref.[29]). It would be interesting to explore the possibility of a connection to our results. 23 1 2 3 4”
• Entanglement entropy of two disjoint blocks in XY chains (2010, background): “Among the other things, this would be relevant also for some quench problems where indeed only the fermionic entanglement has been calculated [36].”
• Entanglement entropy: Holography and renormalization group (2018, background): “…by their symmetries (Kitaev and Preskill, 2006; Levin and Wen, 2006), and to diagnose quantum critical phenomena (Calabrese and Cardy, 2004; Jin and Korepin, 2004; Vidal et al., 2003) and dynamics of strongly-correlated quantum systems (Calabrese and Cardy, 2007, 2005; Eisler and Peschel, 2007).”
• Entanglement entropy in quantum impurity systems and systems with boundaries (2009, background): “The entanglement of a finite section of an infinite chain of free electrons with interface defects at the boundary of the finite section has been considered [21] and the position of the defect has been varied [67].”
• Quantum quenches in extended systems (2007, background): “[51]–[53]), but still a general picture as the one outlined here for global quenches does not exist (this is also interesting for possible connections with quantum impurity problems, see [54] as a review).”
• Entanglement entropy and conformal field theory (2009, background): “This is very similar to the form proposed in [135] to fit the numerical data, i.”
• Holographic entanglement entropy from 2d CFT: heavy states and local quenches (2014, background): “In [37, 41] (see also [59]) Calabrese and Cardy studied a different type of local quench in which two 1+1-dimensional BCFTs are suddenly joined at their boundaries, and subsequently evolve as a single connected CFT.”
• Entanglement and correlation functions following a local quench: a conformal field theory approach (2007, background): “This is very similar to the form proposed in [13] to fit the numerical data, i.”