Quench dynamics and zero-energy modes: the case of the Creutz model
| العنوان: | Quench dynamics and zero-energy modes: the case of the Creutz model |
|---|---|
| المؤلفون: | Abdollah Langari, R. Jafari, Henrik Johannesson, Miguel Angel Martin-Delgado |
| المصدر: | E-Prints Complutense: Archivo Institucional de la UCM Universidad Complutense de Madrid E-Prints Complutense. Archivo Institucional de la UCM instname |
| بيانات النشر: | American physical society, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Physics, Quantum phase transition, Quantum Physics, Condensed matter physics, Statistical Mechanics (cond-mat.stat-mech), Strongly Correlated Electrons (cond-mat.str-el), High Energy Physics::Lattice, Zero-point energy, Non-equilibrium thermodynamics, FOS: Physical sciences, Física, 02 engineering and technology, Fermion, 021001 nanoscience & nanotechnology, 01 natural sciences, Critical point (mathematics), Brillouin zone, Condensed Matter - Strongly Correlated Electrons, 0103 physical sciences, 010306 general physics, 0210 nano-technology, Quantum thermodynamics, Quantum Physics (quant-ph), Quantum, Condensed Matter - Statistical Mechanics |
| الوصف: | In most lattice models, the closing of a band gap typically occurs at high-symmetry points in the Brillouin zone. Differently, in the Creutz model $-$ describing a system of spinless fermions hopping on a two-leg ladder pierced by a magnetic field $-$ the gap closing at the quantum phase transition between the two topologically nontrivial phases of the model can be moved by tuning the hopping amplitudes. We take advantage of this property to examine the nonequilibrium dynamics of the model after a sudden quench of the magnetic flux through the plaquettes of the ladder. For a quench to one of the equilibrium quantum critical points we find that the revival period of the Loschmidt echo $-$ measuring the overlap between initial and time-evolved states $-$ is controlled by the gap closing zero-energy modes. In particular, and contrary to expectations, the revival period of the Loschmidt echo for a finite ladder does not scale linearly with size but exhibits jumps determined by the presence or absence of zero-energy modes. We further investigate the conditions for the appearance of dynamical quantum phase transitions in the model and find that, for a quench {\em to} an equilibrium critical point, such transitions occur only for ladders of sizes which host zero-energy modes. Exploiting concepts from quantum thermodynamics, we show that the average work and the irreversible work per lattice site exhibit a weak dependence on the size of the system after a quench {\em across} an equilibrium critical point, suggesting that quenching into a different phase induces effective correlations among the particles. |
| وصف الملف: | application/pdf |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4d442f6810274a75ebb3b23bbd2bab3 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....a4d442f6810274a75ebb3b23bbd2bab3 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |