Entanglement continuous unitary transformations
Sahin S, Schmidt KP, Orus R (2017)
Publication Status: Published
Publication Type: Journal article
Publication year: 2017
Journal
Publisher: EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
Book Volume: 117
Journal Issue: 2
DOI: 10.1209/0295-5075/117/20002
Abstract
Continuous unitary transformations are a powerful tool to extract valuable information out of quantum many-body Hamiltonians, in which the so-called flow equation transforms the Hamiltonian to a diagonal or block-diagonal form in second quantization. Yet, one of their main challenges is how to approximate the infinitely-many coupled differential equations that are produced throughout this flow. Here we show that tensor networks offer a natural and non-perturbative truncation scheme in terms of entanglement. The corresponding scheme is called "entanglement-CUT" or eCUT. It can be used to extract the low-energy physics of quantum many-body Hamiltonians, including quasiparticle energy gaps. We provide the general idea behind eCUT and explain its implementation for finite 1d systems using the formalism of matrix product operators. We also present proof-of-principle results for the spin-(1/2) 1d quantum Ising model and the 3-state quantum Potts model in a transverse field. Entanglement-CUTs can also be generalized to higher dimensions and to the thermodynamic limit. Copyright (C) EPLA, 2017
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APA:
Sahin, S., Schmidt, K.P., & Orus, R. (2017). Entanglement continuous unitary transformations. EPL - Europhysics Letters, 117(2). https://dx.doi.org/10.1209/0295-5075/117/20002
MLA:
Sahin, Serkan, Kai Phillip Schmidt, and Roman Orus. "Entanglement continuous unitary transformations." EPL - Europhysics Letters 117.2 (2017).
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