Biorthogonal quantum criticality in non-Hermitian many-body systems
| Autor: | Jia-Chen Tang, Gaoyong Sun, Su-Peng Kou |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Strongly Correlated Electrons (cond-mat.str-el) Statistical Mechanics (cond-mat.stat-mech) Physics and Astronomy (miscellaneous) FOS: Physical sciences Hermitian matrix Many body Condensed Matter - Other Condensed Matter Condensed Matter - Strongly Correlated Electrons Criticality Biorthogonal system Quantum Condensed Matter - Statistical Mechanics Other Condensed Matter (cond-mat.other) Mathematical physics |
| Zdroj: | Frontiers of Physics. 17 |
| ISSN: | 2095-0470 2095-0462 |
| DOI: | 10.1007/s11467-021-1126-1 |
| Popis: | We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in the non-Hermitian transverse field Ising chain is investigated by the second derivative of ground-state energy and the ground-state fidelity susceptibility. We show that the system undergoes a second-order phase transition with the Ising universal class by numerically computing the critical points and the critical exponents from the finite-size scaling theory. Interestingly, our results indicate that the biorthogonal quantum phase transitions are described by the biorthogonal fidelity susceptibility instead of the conventional fidelity susceptibility. 7 pages, 4 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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