Dynamical criticality and domain-wall coupling in long-range Hamiltonians
Anno: 2019
Autori: Defenu N., Enss T., Halimeh J.C.
Affiliazione autori: Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany; Tech Univ Munich, Phys Dept, D-85747 Garching, Germany.
Abstract: Dynamical quantum phase transitions hold a deep connection to the underlying equilibrium physics of the quench Hamiltonian. In a recent study [J. C. Halimeh et al., arXiv:1810.07187] it has been numerically demonstrated that the appearance of anomalous cusps in the Loschmidt return rate coincides with the presence of bound domain walls in the spectrum of the quench Hamiltonian. Here we consider transverse-field Ising chains with power-law and exponentially decaying interactions, and show that by removing domain-wall coupling via a truncated Jordan-Wigner transformation onto a Kitaev chain with long-range hopping and pairing, anomalous dynamical criticality is no longer present. This indicates that bound domain walls are necessary for anomalous cusps to appear in the Loschmidt return rate. We also calculate the dynamical phase diagram of the Kitaev chain with long-range hopping and pairing, which in the case of power-law couplings is shown to exhibit rich dynamical criticality including a doubly critical dynamical phase.
Giornale/Rivista: PHYSICAL REVIEW B
Volume: 100 (1) Da Pagina: 14434-1 A: 14434-10
Maggiori informazioni: The authors are grateful to U. Bhattacharya, A. Dutta, F. H. L. Essler, G. Morigi, M. Van Damme, and L. Vanderstraeten for stimulating discussions. This work is supported by Deutsche Forschungsgemeinschaft (DFG) via Collaborative Research Centre SFB1225 (ISOQUANT) and under Germany’s Excellence Strategy EXC-2181/1-390900948 (Heidelberg STRUCTURES Excellence Cluster).Parole chiavi: Body Approximation Methods; Renormalization-group; Solvable Model; ValidityDOI: 10.1103/PhysRevB.100.014434Citazioni: 43dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
