Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
By S. Dusuel, J. Vidal. 2004
174 citations recorded by the source corpus.
We analyze the finite-size scaling exponents in the Lipkin-Meshkov-Glick model by means of the Holstein-Primakoff representation of the spin operators and the continuous unitary transformations method. This combination allows us to exactly compute the leading corrections to the ground-state energy, the gap, the magnetization, and the two-spin correlation functions. We also present numerical calculations for large system size which confirm the validity of this approach. Finally, we use these results to discuss the entanglement properties of the ground state focusing on the (rescaled) concurrence that we compute in the thermodynamical limit.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/a252abe0f43cb4e280f0cc46e51ab518547f1c72
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Adiabatic Quantum Computing (2016, result): “While the examples presented in this review agree with this rule [for additional examples see (Bapst and Semerjian, 2012; Dusuel and Vidal, 2005; Jörg et al., 2008, 2010a; Knysh and Smelyanskiy, 2006)], counterexamples wherein a first order quantum phase transition is associated with a…”
- Entanglement in many-body systems (2007, background): “The existence of the factorizing has been also pointed out in other one dimensional systems both for short (Amico et al., 2006; Roscilde et al., 2004, 2005a) and long range interactions (Dusuel and Vidal, 2005).”
- Quantum spin squeezing (2010, background): “Withmean-field approach [271] we can see that, when h > 1, all spins tend to be polarized in the field direction, i.”