Family-Vicsek Scaling of Roughness Growth in a Strongly Interacting Bose Gas

Abstract

Family-Vicsek scaling is one of the most essential scale-invariant laws emerging in surface-roughness growth of classical systems. In this Letter, we theoretically elucidate the emergence of the Family-Vicsek scaling even in a strongly interacting quantum bosonic system by introducing a surface-height operator. This operator is comprised of a summation of local particle-number operators at a simultaneous time, and thus the observation of the surface roughness in the quantum many-body system and its scaling behavior are accessible to current experiments of ultracold atoms.

7 pages, 5 figures (Supplemental material: 14 pages, 6 figures)

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Cited by in corpus (21)

• Bidirectional dynamic scaling in an isolated Bose gas far from equilibrium
• Bounds in Nonequilibrium Quantum Dynamics
• Impact of Dissipation on Universal Fluctuation Dynamics in Open Quantum Systems
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Interface dynamics in the two-dimensional quantum Ising model
• Dynamic scaling relation in quantum many-body systems
• Kinetic roughening and nontrivial scaling in the Kardar-Parisi-Zhang growth with long-range temporal correlations
• The unpredicted scaling of the one-dimensional Kardar-Parisi-Zhang equation
• Universal scaling relation for growth phenomena
• The inviscid fixed point of the multi-dimensional Burgers-KPZ equation
• Kardar-Parisi-Zhang fluctuations in the synchronization dynamics of limit-cycle oscillators
• Scaling regimes of the one-dimensional phase turbulence in the deterministic complex Ginzburg-Landau equation
• Universal dynamic scaling in chemical reactions at and away from equilibrium
• Power-law entanglement and Hilbert space fragmentation in non-reciprocal quantum circuits
• Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
• Diagnosing quantum transport from wave function snapshots
• Dynamic scaling and Family-Vicsek universality in $SU(N)$ quantum spin chains
• Family-Vicsek universality of the binary intrinsic dimension of nonequilibrium data
• The non-perturbative sides of the Kardar-Parisi-Zhang equation
• Shape-specific fluctuations of an active colloidal interface