Efficient Cluster Algorithm for CP(N-1) Models

Abstract

Despite several attempts, no efficient cluster algorithm has been constructed for CP(N-1) models in the standard Wilson formulation of lattice field theory. In fact, there is a no-go theorem that prevents the construction of an efficient Wolff-type embedding algorithm. In this paper, we construct an efficient cluster algorithm for ferromagnetic SU(N)-symmetric quantum spin systems. Such systems provide a regularization for CP(N-1) models in the framework of D-theory. We present detailed studies of the autocorrelations and find a dynamical critical exponent that is consistent with z = 0.

14 pages, 3 figures

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Cited by in corpus (8)

• Simulating the All-Order Strong Coupling Expansion III: O(N) sigma/loop models
• Simulating the All-Order Strong Coupling Expansion IV: CP(N-1) as a loop model
• From asymptotic freedom to $\theta$ vacua: Qubit embeddings of the O(3) nonlinear $\sigma$ model
• Progress in numerical simulations of systems with a $\theta -$vacuum like term: The two and three-dimensional Ising model within an imaginary magnetic field
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• SU(3) Quantum Spin Ladders as a Regularization of the CP(2) Model at Non-Zero Density: From Classical to Quantum Simulation
• Lattice regularizations of $\theta$ vacua: Anomalies and qubit models
• Generalizing the Tomboulis-Yaffe Inequality to SU(N) Lattice Gauge Theories and General Classical Spin Systems