Scrambling in the Quantum Lifshitz Model
| Autor: | Eugeniu Plamadeala, Eduardo Fradkin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Quantum phase transition Physics Scalar field theory Strongly Correlated Electrons (cond-mat.str-el) Statistical Mechanics (cond-mat.stat-mech) 010308 nuclear & particles physics Strong interaction FOS: Physical sciences Statistical and Nonlinear Physics Lyapunov exponent Weak interaction 01 natural sciences Quantum chaos symbols.namesake Condensed Matter - Strongly Correlated Electrons Quantum mechanics 0103 physical sciences symbols Statistics Probability and Uncertainty 010306 general physics Ground state Critical exponent Condensed Matter - Statistical Mechanics |
| Popis: | We study signatures of chaos in the quantum Lifshitz model through out-of-time ordered correlators (OTOC) of current operators. This model is a free scalar field theory with dynamical critical exponent $z=2$. It describes the quantum phase transition in 2D systems, such as quantum dimer models, between a phase with an uniform ground state to another one with a spontaneously translation invariance. At the lowest temperatures the chaotic dynamics are dominated by a marginally irrelevant operator which induces a temperature dependent stiffness term. The numerical computations of OTOC exhibit a non-zero Lyapunov exponent (LE) in a wide range of temperatures and interaction strengths. The LE (in units of temperature) is a weakly temperature-dependent function; it vanishes at weak interaction and saturates for strong interaction. The Butterfly velocity increases monotonically with interaction strength in the studied region while remaining smaller than the interaction-induced velocity/stiffness. 15 pages + appendices. 12 figures |
| Databáze: | OpenAIRE |
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