Quantum quenches and competing orders

Abstract

We study the nonequilibrium dynamics of an electronic model of competition between an unconventional charge density wave (a bond density wave) and $d$-wave superconductivity. In a time-dependent Hartree-Fock+BCS approximation, the dynamics reduces to the equations of motion of operators realizing the generators of SU(4) at each pair of momenta, ( $\mathbf{k}$, - $\mathbf{k}$ ), in the Brillouin zone. We also study the nonequilibrium dynamics of a quantum generalization of a O(6) nonlinear $\sigma$ model of competing orders in the underdoped cuprates [Hayward et al., Science $343$, 1336 (2014)]. We obtain results, in the large $N$ limit of a O($N$) model, on the time dependence of correlation functions following a pulse disturbance. We compare our numerical studies with recent picosecond optical experiments. We find that, generically, the oscillatory responses in our models share various qualitative features with the experiments.

39 pages, 33 figures; v2: includes analysis previously submitted as arXiv:1401.7674. v3: published version

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• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Modification of late time phase structure by quantum quenches

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• Twisting Anderson pseudospins with light: Quench dynamics in THz-pumped BCS superconductors
• Light induced enhancement of superconductivity via melting of competing bond-density wave order in underdoped cuprates
• Lindblad master equation approach to the dissipative quench dynamics of planar superconductors
• Controlling competing orders via non-equilibrium acoustic phonons: emergence of anisotropic electronic temperature
• Control of Competing Superconductivity and Charge Order by Non-equilibrium Currents
• Hybridization of Higgs modes in a bond-density-wave state in cuprates
• Topological Defects in Systems with Two Competing Order Parameters: Application to Superconductors with Charge- and Spin-Density Waves
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Nonequilibrium dynamics of spontaneous symmetry breaking into a hidden state of charge-density wave
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• Thermal-bath effects in quantum quenches within quantum critical regimes
• Terahertz pulse-driven collective mode in the nematic superconducting state of Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Anomalous behavior of the $E_u^1$ infrared-active phonon mode in a Bi${}_{2-x}$Sr${}_x$Se${}_3$ crystal
• Eight-fold classification of superconducting orders
• Toward nonthermal control of excited quantum materials: framework and investigations by ultrafast electron scattering and imaging