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A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear couplingforms a quantum dual of a traversable wormhole, with a ground state close tothe so called thermofield double state. We use adiabaticity arguments andnumerical simulations to show that the character of the ground state remainsunchanged when interaction strengths in the two SYK models become imbalanced.Analysis of thermodynamic and dynamical quantities highlights the keysignatures of the wormhole phase in the imbalanced case. Further adiabaticevolution naturally leads to the 'maximally imbalanced' limit where fermions ina single SYK model are each coupled to a free Majorana zero mode. This limit isinteresting because it could be more easily realized using various setupsproposed to implement the SYK model in a laboratory. We find that this limitingcase is marginal in that it retains some of the characteristic signatures ofthe wormhole physics, such as the spectral gap and revival dynamics, but lacksothers so that it likely does not represent the full-fledged wormhole dual. Wediscuss how this scenario could be implemented in the proposed realization ofthe SYK physics in quantum wires of finite length coupled to a disorderedquantum dot.

Traversable wormhole in coupled SYK models with imbalanced interactions