Twofold correlation spreading in a strongly correlated lattice Bose gas

Abstract

We study the spreading of correlations in the Bose-Hubbard chain, using the time-dependent matrix-product state approach. In both the superfluid and the Mott-insulator phases, we find that the time-dependent correlation functions generally display a universal twofold cone structure characterized by two distinct velocities. The latter are related to different microscopic properties of the system and provide useful information on the excitation spectrum. The twofold spreading of correlations has profound implications on experimental observations that are discussed.

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Cited by in corpus (19)

• Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
• Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
• Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
• Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
• Local quench spectroscopy of many-body quantum systems
• Spectroscopy of elementary excitations from quench dynamics in a dipolar XY Rydberg simulator
• Phase and group velocities for correlation spreading in the Mott phase of the Bose-Hubbard model in dimensions greater than one
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
• Experimental tests of Lieb-Robinson bounds
• How to seed ergodic dynamics of interacting bosons under conditions of many-body quantum chaos
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Finite-time quantum quenches in the XXZ Heisenberg chain
• Entanglement Propagation in Integrable Heisenberg Chains from a New Lens
• Propagation of two-particle correlations across the chaotic phase for interacting bosons
• Spread of Correlations in Strongly Disordered Lattice Systems with Long-Range Coupling
• Machine Learning out of equilibrium correlations in the Bose-Hubbard model
• Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model
• Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons