LETTER TO THE EDITOR: Calculation of reduced density matrices from correlation functions

By I. Peschel. 2002

892 citations recorded by the source corpus.

It is shown that for solvable fermionic and bosonic lattice systems, the reduced density matrices can be determined from the properties of the correlation functions. This provides the simplest way to these quantities which are used in the density-matrix renormalization group method.

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

View Paper: https://www.semanticscholar.org/paper/14bd52db7ad28dd31c42455d09bd9d694df250d0

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In Atomic and Molecular Physics, and Optics

1. Pasquale Calabrese
2. J. Cardy
3. E. Tonni
4. A. Nahum
5. T. Takayanagi
6. M. Fagotti
7. J. Dubail
8. B. Doyon

In Condensed Matter Physics

1. Pasquale Calabrese
2. J. Cardy
3. E. Tonni
4. J. Dubail
5. A. Nahum
6. M. Fagotti
7. F. Essler
8. J. Ruhman

Citations in the corpus

• Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy (2007, result): “ good agreement is found, which supports the twist-field realization proposed in appendix B. It is worth noticing that in the free case there are alternative ways of computing the entanglement entropy [39, 40, 41]. 5.2 The sinh-Gordon model In this section we will verify that f˜(1) = 1/2 also for the”
• Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1  +  1d (2016, background): “For more details, see the standard references [93, 94].”
• Quantum Entanglement Growth Under Random Unitary Dynamics (2016, background): “[90] to construct the reduced density matrix.”
• Quantum epidemiology: operator growth, thermal effects, and SYK (2018, background): “Since state |0〉 is the ground state of a quadratic Hamiltonian H = ∑ j c † jcj, it is straightforward to compute the entanglement entropy [34] and verify that the state is maximally entangled between L and R.”
• Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions (2021, background): “[72] Ingo Peschel, “Calculation of reduced density matrices from correlation functions,” Journal of Physics A Mathematical General 36, L205–L208 (2003).”
• Entanglement entropy in quantum impurity systems and systems with boundaries (2009, methodology): “[74, 75] over for very large systems using ED, as shown in figure 11 both for PBC and OBC with R = 2000 sites.”
• Long-range Ising and Kitaev models: phases, correlations and edge modes (2015, methodology): “[60] I.”
• Remarks on the entanglement entropy for disconnected regions (2008, background): “These can be treated using the expression of the local density matrix in terms of correlators [28].”