Entanglement mean-field theory and the Curie-Weiss law

2009/11/25 by Aditi Sen, Aditi Sen De, Ujjwal Sen · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Consistency (knowledge bases) #Field (mathematics) #Geometry #Ising model #Magnetic field #Magnetization #Mathematics #Mean field theory #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.other #cond-mat.stat-mech #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1209/0295-5075/99/20011

published in Europhysics Letters (EPL) 99(2), 20011 (Institute of Physics) · 5 pages, 4 figures

arxiv created 2009/11/25 · openalex publication_date 2012/07/01 · arxiv updated 2013/03/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The mean-field theory, in its different hues, forms a useful tool for investigating single-body properties, like magnetization and susceptibility, of many-body systems. We propose an "entanglement mean-field theory", which transforms a many-body system into a two-body one, while retaining footprints of the many-body parent, using which it is possible to examine its two-body properties, and predict temperature-driven as well as quantum fluctuation-driven critical phenomena, by considering two-body self-consistency equations in contrast to single-body ones in mean-field–like theories. Compared to mean-field theory, the proposed one, with little to no extra complicacy, makes better predictions for the critical points, as well as for the qualitative and quantitative behavior of single- and two-body physical quantities. In particular, the predictions of the proposed theory are in much better conformity with the Curie-Weiss law for magnetization. Also, the proposed theory predicts an order by disorder for a correlation function in the random-field transverse quantum Ising model.

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Cited by

• Simulating Quantum Dynamics with Entanglement Mean Field Theory