Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz

• URL: http://arxiv.org/abs/2309.00797v1
• Date: Sat, 2 Sep 2023 02:23:54 GMT
• Title: Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz
• Authors: Yulong Shen and Nengji Zhou
• Abstract summary: Dissipative quantum phase transitions in the sub-Ohmic spin-boson model are numerically studied. quantum-to-classical correspondence is fully confirmed over the entire sub-Ohmic range. Mean-field and non-mean-field critical behaviors are found in the deep and shallow sub-Ohmic regimes.
• Score: 17.26854451734512
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: With extensive variational simulations, dissipative quantum phase transitions in the sub-Ohmic spin-boson model are numerically studied in a dense limit of environmental modes. By employing a generalized trial wave function composed of coherent-state expansions, transition points and critical exponents are accurately determined for various spectral exponents, demonstrating excellent agreement with those obtained by other sophisticated numerical techniques. Besides, the quantum-to-classical correspondence is fully confirmed over the entire sub-Ohmic range, compared with theoretical predictions of the long-range Ising model. Mean-field and non-mean-field critical behaviors are found in the deep and shallow sub-Ohmic regimes, respectively, and distinct physical mechanisms of them are uncovered.

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