Strings of ultracold molecules in a synthetic dimension

Abstract

We consider ultracold polar molecules trapped in a unit-filled one-dimensional chain in real space created with an optical lattice or a tweezer array and illuminated by microwaves that resonantly drive transitions within a chain of rotational states. We describe the system by a two-dimensional lattice model, with the first dimension being a lattice in real space and the second dimension being a lattice in a synthetic direction composed of rotational states. We calculate this system's ground-state phase diagram. We show that as the dipole interaction strength is increased, the molecules undergo a phase transition from a two-dimensional gas to a phase in which the molecules bind together and form a string that resembles a one-dimensional object living in the two-dimensional (i.e, one real and one synthetic dimensional) space. We demonstrate this with two complementary techniques: numerical calculations using matrix product state techniques and an analytic solution in the limit of infinitely strong dipole interaction. Our calculations reveal that the string phase at infinite interaction is effectively described by emergent particles living on the string and that this leads to a rich spectrum with excitations missed in earlier mean-field treatments.

arXiv comment8 pages main text + 3 pages Appendix + references; 7 figures

References in corpus (77)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Probing many-body dynamics on a 51-atom quantum simulator
• A High Phase-Space-Density Gas of Polar Molecules
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Cold and Ultracold Molecules: Science, Technology, and Applications
• A toolbox for lattice spin models with polar molecules
• Realizing a lattice spin model with polar molecules
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Synthetic gauge fields in synthetic dimensions
• Dipolar collisions of polar molecules in the quantum regime
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• Ultracold Dipolar Gas of Fermionic ${}^{23}$Na${}^{40}$K Molecules in their Absolute Ground State
• Quantum critical scaling of the geometric tensors
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• Controlling the quantum stereodynamics of ultracold bimolecular reactions
• High-fidelity control and entanglement of Rydberg atom qubits
• Creation of an ultracold gas of ground-state ${}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}$ molecules
• Single-atom trapping in holographic 2D arrays of microtraps with arbitrary geometries
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• A Fermi Degenerate Gas of Polar Molecules
• Spin-orbit coupled fermions in an optical lattice clock
• Manipulation of Molecules with Electromagnetic Fields
• Cooling a single atom in an optical tweezer to its quantum ground state
• Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
• In situ single-atom array synthesis by dynamic holographic optical tweezers
• New frontiers with quantum gases of polar molecules
• Alkaline earth atoms in optical tweezers
• Quantum Critical Scaling of Fidelity Susceptibility
• Microscopic control and detection of ultracold strontium in optical-tweezer arrays
• Quantum magnetism with multicomponent polar molecules in an optical lattice
• Many-body dynamics of dipolar molecules in an optical lattice
• Quantum Magnetism with Polar Alkali Dimers
• Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Rapid production of uniformly-filled arrays of neutral atoms
• Quantum fluids of self-assembled chains of polar molecules
• Statistical Aspects of Ultracold Resonant Scattering
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
• Synthetic spin-orbit coupling in an optical lattice clock
• Topological phases in ultracold polar-molecule quantum magnets
• Far from equilibrium quantum magnetism with ultracold polar molecules
• Strongly interacting ultracold polar molecules
• A two-dimensional lattice of blue detuned atom traps using a projected Gaussian beam array
• Correlated dynamics in a synthetic lattice of momentum states
• Interacting atomic quantum fluids on momentum-space lattices
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Realizing unconventional quantum magnetism with symmetric top molecules
• A quantum computation architecture using optical tweezers
• Extending rotational coherence of interacting polar molecules in a spin-decoupled magic trap
• Kitaev honeycomb and other exotic spin models with polar molecules
• Open source Matrix Product States: Opening ways to simulate entangled many-body quantum systems in one dimension
• Designing spin-1 lattice models using polar molecules
• Quantifying Complexity in Quantum Phase Transitions via Mutual Information Complex Networks
• Simulating quantum magnets with symmetric top molecules
• Observation of Bloch oscillations in molecular rotation
• Ballistic, diffusive, and arrested transport in disordered momentum-space lattices
• Fast transport, atom sample splitting, and single-atom qubit supply in two-dimensional arrays of optical microtraps
• Novel $p$-wave superfluids of fermionic polar molecules
• Ultracold nonreactive molecules in an optical lattice: connecting chemistry to many-body physics
• Superfluidity of flexible chains of polar molecules
• Ground states of linear rotor chains via the density matrix renormalization group
• A complex network description of thermal quantum states in the Ising spin chain
• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices
• Microscopic derivation of multi-channel Hubbard models for ultracold nonreactive molecules in an optical lattice
• Lattice model parameters for ultracold nonreactive molecules: chaotic scattering and its limitations
• Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions
• Separation induced resonances in quasi-one-dimensional ultracold atomic gases
• Bosonic molecules in a lattice: unusual fluid phase from multichannel interactions

Cited by in corpus (11)

• Topological quantum matter in synthetic dimensions
• Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
• A comprehensive review on developments of synthetic dimensions
• Nonlinear dynamics in a synthetic momentum state lattice
• Particle exchange statistics beyond fermions and bosons
• Coherent Manipulation of the Internal State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules with Multiple Microwave Fields
• Preparation of ${}^{87}$Rb and ${}^{133}$Cs in the motional ground state of a single optical tweezer
• Quantum Membrane Phases in Synthetic Lattices of Cold Molecules or Rydberg Atoms
• Building Flat-Band Lattice Models from Gram Matrices
• Long-lived multilevel coherences and spin-1 dynamics encoded in the rotational states of ultracold molecules
• Robust storage qubits in ultracold polar molecules