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Quantum spin chains with site dissipation

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arxiv cond-mat/0412529 v1 pith:Z6H6KFLV submitted 2004-12-20 cond-mat.stat-mech

Philipp Werner , Matthias Troyer , Subir Sachdev This is my paper · ORCID
classification cond-mat.stat-mech
keywords dissipativephasechainsdiagramdissipationexponentsfieldsite
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abstract

We use Monte Carlo simulations to study chains of Ising- and XY-spins with dissipation coupling to the site variables. The phase diagram and critical exponents of the dissipative Ising chain in a transverse magnetic field have been computed previously, and here we consider a universal ratio of susceptibilities. We furthermore present the phase diagram and exponents of the dissipative XY-chain, which exhibits a second order phase transition. All our results compare well with the predictions from a dissipative $\phi^4$ field theory.

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Cited by 1 Pith paper

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  1. Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter

    cond-mat.stat-mech 2025-06 conditional novelty 8.0 of 10

    In a strictly short-range XY model made of a plane intersected by parallel planes, true long-range order appears along the intersection lines when the parallel planes enter a Berezinskii-Kosterlitz-Thouless critical phase.

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