FisMat2017 - Submission - View

Abstract's title: Critical behavior of 2D dissipative spin lattices
Submitting author: Riccardo Rota
Affiliation: Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot
Affiliation Address: 10 rue Alice Domon et Leonie Duquet 75013 Paris
Country: France
Oral presentation/Poster (Author's request): Oral presentation
Other authors and affiliations: Florent Storme (Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot, Paris, France) Nicola Bartolo (Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot, Paris, France) Rosario Fazio (Scuola Normale Superiore (Pisa) and ICTP (Trieste), Italy) Cristiano Ciuti (Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot, Paris, France)
Abstract

 

The study of dissipative phase transitions is an emerging topic of research for quantum many-body systems out of equilibrium, which can be realized in artificial platforms using Rydberg atoms, semiconductor microstructures or superconducting circuits. In a dissipative phase transitions, the non-equilibrium steady state abruptly changes as a system parameter is varied, due to the competition between the coherent Hamiltonian dynamics and the dissipation processes.

Recently, unconventional magnetic phase transitions have been predicted in spin lattices described by a dissipative Heisenberg model with anisotropic spin-spin coupling and incoherent spin relaxation: in particular, the predictions have been based on single-site [1] and cluster mean-field [2] theory. A crucial problem is to explore the physical properties beyond mean-field.

By applying the corner-space renormalization method [3], we have explored the critical behavior of such class of spin systems [4]. We have been able to investigate the finite-size scaling and to calculate the critical exponent of the magnetic linear susceptibility. We show that the Von Neumann entropy increases across the critical point, revealing a strongly mixed character of the ferromagnetic phase. At the same time, the quantum Fisher information, an entanglement witness, exhibits a critical behavior at the transition point, showing that quantum correlations play a crucial role. Our results suggest that dissipative phase transition can share properties of both thermal and quantum phase transitions.

 

References:

[1] T. E. Lee, S. Gopalakrishnan, and M. D. Lukin, Phys. Rev. Lett. 110, 257204 (2013).

[2] J. Jin, A. Biella, O. Viyuela, L. Mazza, J. Keeling, R. Fazio, and D. Rossini, Phys. Rev. X 6, 031011 (2016)

[3] S. Finazzi, A. Le Boité, F. Storme, A. Baksic and C. Ciuti, Phys. Rev. Lett. 115, 080604 (2015)

[4] R. Rota, F. Storme, N. Bartolo, R. Fazio and C. Ciuti, Phys. Rev. B 95, 134431 (2017).