Non-Hermitian matter wave mixing in Bose Einstein condensates: dissipation induced amplification

Abstract

We investigate the nonlinear scattering dynamics in interacting atomic Bose-Einstein condensates under non-Hermitian dissipative conditions. We show that by carefully engineering a momentum-dependent atomic loss profile one can achieve matter-wave amplification through four wave mixing in a one-dimensional quasi free-space setup - a process that is forbidden in the counterpart Hermitian systems due to energy mismatch. Additionally, we show that similar effects lead to rich nonlinear dynamics in higher dimensions. Finally, we propose a physical realization for selectively tailoring the momentum-dependent atomic dissipation. Our strategy is based on a two step process: (i) exciting atoms to narrow Rydberg- or metastable excited states, and (ii) introducing loss through recoil; all while leaving the bulk condensate intact due to protection by quantum interference.

4 pages, 3 figures and 4pages SI plus 3 figures SI

References in corpus (22)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• PT-Symmetric Phonon Laser
• Quasiclassical calculations of BBR-induced depopulation rates and effective lifetimes of Rydberg nS, nP and nD alkali-metal atoms with n < 80
• XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
• Giant electro-optic effect using polarizable dark states
• Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
• Quantum turbulence and correlations in Bose-Einstein condensate collisions
• Exceptional points and lasing self-termination in photonic molecules
• Imaging of s and d partial-wave interference in quantum scattering of identical bosonic atoms
• Sub-Poissonian number differences in four-wave mixing of matter waves
• Spectroscopy of strontium Rydberg states using electromagnetically induced transparency
• Non-Hermitian engineering of single mode two dimensional laser arrays
• Three-body recombination of ultracold Bose gases using the truncated Wigner method
• Atomic four-wave mixing via condensate collisions
• Paired atom laser beams created via four-wave mixing
• Collapsing Bose-Einstein condensates beyond the Gross-Pitaevskii approximation
• Rydberg Electrons in a Bose-Einstein Condensate
• Atom-atom correlations in colliding Bose-Einstein condensates
• Einstein-Podolsky-Rosen correlations from colliding Bose-Einstein condensates
• Phonon background versus analogue Hawking radiation in Bose-Einstein condensates
• Dynamics of parametric matter wave amplification
• Quantum-field dynamics of expanding and contracting Bose-Einstein condensates

Cited by in corpus (3)

• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Density correlations from analogue Hawking radiation in the presence of atom losses
• Experimental study of matter-wave four-wave mixing in ${}^{39}$K Bose-Einstein condensates with tunable interaction