Monte Carlo simulations of dissipative quantum Ising models

Details Monte Carlo simulations of dissipative quantum Ising models Monte Carlo simulations of dissipative quantum Ising models

2010-02-17

arxiv.org/abs/1002.3369v1

Physical Review B81, 104302 (2010)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 8 figures. Submitted to Physical Review B

Scientific paper

10.1103/PhysRevB.81.104302

The dynamical critical exponent $z$ is a fundamental quantity in characterizing quantum criticality, and it is well known that the presence of dissipation in a quantum model has significant impact on the value of $z$. Studying quantum Ising spin models using Monte Carlo methods, we estimate the dynamical critical exponent $z$ and the correlation length exponent $\nu$ for different forms of dissipation. For a two-dimensional quantum Ising model with Ohmic site dissipation, we find $z \approx 2$ as for the corresponding one-dimensional case, whereas for a one-dimensional quantum Ising model with Ohmic bond dissipation we obtain the estimate $z \approx 1$.

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