Self-Ordered Supersolid in Spinor Condensates with Cavity-Mediated Spin-Momentum-Mixing Interactions
Abstract: Ultracold atoms with cavity-mediated long-range interactions offer a promising platform for investing novel quantum phenomena. Exploiting recent experimental advancements, we propose an experimental scheme to create self-ordered supersolid in spin-$1/2$ condensates confined within an optical cavity. The interplay of cavity and pump fields gives rise to supersolid square and plane wave phases, comprehensively described by the two-component Tavis-Cummings model. We show that the self-ordered supersolid phase exhibits an undamped gapless Goldstone mode over a wide parameter range. This proposal, achievable with current experimental setups utilizing identical laser configurations, is in contrast to the realization of checkerboard supersolidity, which hinges on constructing a $U(1)$ symmetry by utilizing two ${\cal Z}_2$ symmetries with precisely matched atom-cavity coupling in multimode resonators. By employing the superradiant photon-exchange process, we realize for the first time cavity-mediated spin-momentum-mixing interactions between highly correlated spin and momentum modes, analogous to that observed spin-mixing in spin-1 condensates. Our scheme provides a unique platform for realizing spin-momentum squeezing and spatially distributed multipartite entanglement.
- I. Carusotto and C. Ciuti, Quantum fluids of light, Rev. Mod. Phys. 85, 299 (2013).
- A. Reiserer and G. Rempe, Cavity-based quantum networks with single atoms and optical photons, Rev. Mod. Phys. 87, 1379 (2015).
- A. Reiserer, Colloquium: Cavity-enhanced quantum network nodes, Rev. Mod. Phys. 94, 041003 (2022).
- M. Boninsegni and N. V. Prokof’ev, Colloquium: Supersolids: What and where are they? Rev. Mod. Phys. 84, 759 (2012).
- E. Kim and M. H. W. Chan, Probable observation of a supersolid helium phase, Nature 427, 225 (2004).
- S. Balibar, The enigma of supersolidity, Nature 464, 176 (2010).
- D. Y. Kim and M. H. W. Chan, Absence of supersolidity in solid helium in porous vycor glass, Phys. Rev. Lett. 109, 155301 (2012).
- G. V. Chester, Speculations on Bose-Einstein condensation and quantum crystals, Phys. Rev. A 2, 256 (1970).
- E. P. Gross, Unified theory of interacting bosons, Phys. Rev. 106, 161 (1957).
- Y. Deng and S. Yi, Self-ordered supersolid phase beyond Dicke superradiance in a ring cavity, Phys. Rev. Res. 5, 013002 (2023).
- P. Karpov and F. Piazza, Light-induced quantum droplet phases of lattice bosons in multimode cavities, Phys. Rev. Lett. 128, 103201 (2022).
- C. Gross and I. Bloch, Quantum simulations with ultracold atoms in optical lattices, Science 357, 995 (2017).
- See Supplemental Material for a derivation and discussion .
- C. Emary and T. Brandes, Chaos and the quantum phase transition in the Dicke model, Phys. Rev. E 67, 066203 (2003).
- A. Baksic and C. Ciuti, Controlling discrete and continuous symmetries in “superradiant” phase transitions with circuit qed systems, Phys. Rev. Lett. 112, 173601 (2014).
- M. Kitagawa and M. Ueda, Squeezed spin states, Phys. Rev. A 47, 5138 (1993).
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