Constraint Effective Potential of the Magnetization in the Quantum XY Model

Abstract

Using an improved estimator in the loop-cluster algorithm, we investigate the constraint effective potential of the magnetization in the spin $\frac{1}{2}$ quantum XY model. The numerical results are in excellent agreement with the predictions of the corresponding low-energy effective field theory. After its low-energy parameters have been determined with better than permille precision, the effective theory makes accurate predictions for the constraint effective potential which are in excellent agreement with the Monte Carlo data. This shows that the effective theory indeed describes the physics in the low-energy regime quantitatively correctly.

21 pages, 7 figures

References in corpus (9)

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Cited by in corpus (10)

• Spontaneous Magnetization of an Ideal Ferromagnet: Beyond Dyson's Analysis
• Low-Temperature Properties of Two-Dimensional Ideal Ferromagnets
• Thermodynamics of Two-Dimensional Ideal Ferromagnets - Three-Loop Analysis
• Real-time dynamics of open quantum spin systems driven by dissipative processes
• Low-Temperature Properties of Ferromagnetic Spin Chains in a Magnetic Field
• Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipation
• Systematic Effective Field Theory Analysis of the D=2+1 Quantum XY Model at Low Temperatures
• Thermodynamics of Ferromagnetic Spin Chains in a Magnetic Field: Impact of the Spin-Wave Interaction
• Universal and non-universal large deviations in critical systems
• Thermodynamics of the $d$=3+1 Quantum XY Model