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Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model

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… Expand

Robustness of a perturbed topological phase.

- S. Dusuel, M. Kamfor, R. Orús, K. Schmidt, J. Vidal
- Physics, MathematicsPhysical review letters
- 8 December 2010

We investigate the stability of the topological phase of the toric code model in the presence of a uniform magnetic field by means of variational and high-order series expansion approaches. We find… Expand

Finite-size scaling exponents of the Lipkin-Meshkov-Glick model.

TLDR

Low-energy effective theory of the toric code model in a parallel magnetic field

- J. Vidal, S. Dusuel, K. Schmidt
- Physics
- 3 July 2008

We determine analytically the phase diagram of the toric code model in a parallel magnetic field which displays three distinct regions. Our study relies on two high-order perturbative expansions in… Expand

Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model.

TLDR

Self-duality and bound states of the toric code model in a transverse field

- J. Vidal, R. Thomale, K. Schmidt, S. Dusuel
- Physics
- 20 February 2009

We investigate the effect of a transverse magnetic field on the toric code model. We show that this problem can be mapped onto the Xu-Moore model and thus onto the quantum compass model which are… Expand

Entanglement entropy in collective models

- J. Vidal, S. Dusuel, T. Barthel
- Physics
- 30 October 2006

We discuss the behaviour of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between… Expand

Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study

- S. Dusuel, M. Kamfor, K. Schmidt, R. Thomale, J. Vidal
- Physics
- 8 December 2009

We analyze the properties of low-energy bound states in the transverse-field Ising model and in the XXZ model on the square lattice. To this end, we develop an optimized implementation of… Expand

Mean-field ansatz for topological phases with string tension

We propose a simple mean-field ansatz to study phase transitions from a topological phase to a trivial phase. We probe the efficiency of this approach by considering the string-net model in the… Expand

Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking

- S. Dusuel, K. Schmidt, J. Vidal, R. Zaffino
- Physics
- 30 April 2008

We analyze the Kitaev model on the triangle-honeycomb lattice whose ground state has recently been shown to be a chiral spin liquid. We consider two perturbative expansions: the isolated-dimer limit… Expand

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