Figures of the Article
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(a) Single-particle eigenspectra of Hamiltonian (1) on the complex plane. Green: eigenspectrum of in the momentum space (an infinite system under PBC). Blue: eigenspectrum of a finite system with
z∈[−30,30] . Red: eigenspectrum under OBC. Inset: enlarged eigenspectra. We fixΩ=0.5Er andΓz=2Er . For calculations of finite systems, the spatial coordinates alongz are discretized into480 segments. (b) Spatial distribution of the100 eigenstates with the smallest real components (indicated by the color bar). -
(a) Propagation of the condensate wavefunction in the bulk, with
Ω=0.5Er andΓz=2Er . (b) Growth rate as a function of the shift velocity under the parameters of (a). (c) Growth rate withΩ=0 andΓz=2Er , evaluated att=0.7 . (d) Growth rate withΩ=0.5Er andΓz=0 , valuated att=0.7 . The unit of time is1/ω0=10 ms. -
(a, d) Spatial distribution of eigen wavefunctions along the
z direction in an isotropic harmonic trap, withΩ=0.5Er andΓz=5Er . For the numerical calculations here, we take a cylindrical coordinate, discretizingz∈[−30,30] into480 segments, and the radial coordinateρ∈[0,4] into8 segments. We plot the radial-integrated spatial distribution of the800 eigenstates with the smallest real components, colored according toRe(E) (see color bar). Specifically,˜ψ1(z)=2π∫ρdρψ1(ρ,z) . (b, e) Propagation of the condensate wavefunction in the bulk. (c, f) Growth rate as a function of the shift velocity att=0.6 . The peak shift velocityvm≈16.04 in (c) andvm≈13.33 in (f). The trapping potential isω=ω0=100 Hz in (a, b, c), andω=2ω0=200 Hz in (d, e, f). The unit of time is10 ms, so the longest evolution time in (b, e) is6 ms. -
Effect of condensate interaction on the non-Hermitian skin effect in a trapped gas, evaluated at
t=0.7 (∼7 ms). See main text for the definition of the average propagation speedˉv in (a), and the integrated propagation speedˉvint in (b). Other parameters are the same as those in Fig. 3.
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