Dynamics of spin and density fluctuations in strongly interacting few-body systems

Abstract

The decoupling of spin and density dynamics is a remarkable feature of quantum one-dimensional many-body systems. In a few-body regime, however, little is known about this phenomenon. To address this problem, we study the time evolution of a small system of strongly interacting fermions after a sudden change in the trapping geometry. We show that, even at the few-body level, the excitation spectrum of this system presents separate signatures of spin and density dynamics. Moreover, we describe the effect of considering additional internal states with SU(N) symmetry, which ultimately leads to the vanishing of spin excitations in a completely balanced system.

32 pages, 6 figures

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Cited by in corpus (13)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
• Emergence and disruption of spin-charge separation in one-dimensional repulsive fermions
• Correlated dynamics of fermionic impurities induced by the counterflow of an ensemble of fermions
• Universal scaling of spin mixing dynamics in a strongly interacting one-dimensional Fermi gas
• Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
• Spin-orbit coupling in the presence of strong atomic correlations
• Spin-charge correlations in finite one-dimensional multi-band Fermi systems
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Generation of spin currents by a temperature gradient in a two-terminal device
• Few strongly interacting fermions of different mass driven in the vicinity of a critical point
• Expansion of one-dimensional spinor gases from power-law traps