Quantum Spin Chain, Toeplitz Determinants and the Fisher—Hartwig Conjecture

By B. Jin, V. Korepin. 2004

375 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/219b2e76b0da16ccef996ab58a9be7222e619f33

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. Pasquale Calabrese
2. J. Cardy
3. T. Nishioka
4. T. Takayanagi
5. M. Fagotti
6. S. Ryu
7. Frank Verstraete
8. V. Alba

In Atomic and Molecular Physics, and Optics

1. Pasquale Calabrese
2. J. Cardy
3. T. Nishioka
4. T. Takayanagi
5. M. Fagotti
6. V. Alba
7. S. Ryu
8. E. Tonni

Citations in the corpus

• 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,…”
• Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results (2012, result): “um entanglement when one evaluates the von Neumann 46 entropy, which is a fundamental measure of the entanglement of a subsystem with the rest of the quantum system. For instance, as shown in [VLRK], [JK], the evaluation of the von Neumann entropy of a subsystem of neighboring spins in the XY quantu”
• Entanglement entropy of excited states (2009, background): “The entanglement entropy can be expressed as a complex integration over a contour C that encircles the segment [−1, 1] at the infinitesimal distance η as in [16]:”
• Entanglement in many-body systems (2007, methodology): “(40) was constructed explicitly for the quantum Ising, XXZ, and LMG models (Wu et al., 2006).”
• Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy (2007, background): “At the theoretical level, there has been considerable interest in formulating measures of quantum entanglement [4–8] and applying them to extended quantum systems with many degrees of freedom, such as quantum spin chains [9–17].”
• Evolution of entanglement entropy in one-dimensional systems (2005, background): “[ 6 ,7] it is possible to calculate the leading behavior of Sl(∞) for large l. Let us introduce [6,7]”