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First-order transitions in spin chains coupled to quantum baths

C. A. Perroni1, A. De Candia1,2, V. Cataudella1, R. Fazio1,3,4, and G. De Filippis1

  • 1CNR-SPIN and Physics Department E. Pancini, Università degli Studi di Napoli Federico II, Complesso Universitario Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy
  • 2INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, I-80126 Napoli, Italy
  • 3International Centre for Theoretical Physics, Strada Costiera 11, I-34151 Trieste, Italy
  • 4National Enterprise for nanoScience and nanoTechnology, Istituto Nanoscienze-CNR, I-56126 Pisa, Italy

Phys. Rev. B 107, L100302 – Published 10 March, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L100302

Abstract

We show that tailoring the dissipative environment allows us to change the features of continuous quantum phase transitions and even induce first-order transitions in ferromagnetic spin chains. In particular, using a numerically exact quantum Monte Carlo method for the paradigmatic Ising chain of one-half spins in a transverse magnetic field, we find that spin couplings to local quantum boson baths (in the Ohmic regime) can drive the transition from the second to the first order even for a low dissipation strength. Moreover, using a variational mean-field approach for the treatment of spin-spin and spin-boson interactions, we point out that phase discontinuities are ascribable to a dissipation-induced effective magnetic field which is intrinsically related to the bath quantum fluctuations and vanishes for classical baths. The effective field is able to switch the sign of the magnetization along the direction of spin-spin interactions. The results can be potentially tested in recent quantum simulators and are relevant for quantum sensing since the spin system could not only detect the properties of nonclassical baths, but also the effects of weak magnetic fields.

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