Transient Supersolid Properties in an Array of Dipolar Quantum Droplets

  title={Transient Supersolid Properties in an Array of Dipolar Quantum Droplets},
  author={Fabian Bottcher and Jan-Niklas Schmidt and Matthias Wenzel and J. Hertkorn and Ming Guo and Tim Langen and Tilman Pfau},
  journal={Physical Review X},
We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a regular Bose-Einstein condensate, incoherent and coherent arrays of quantum droplets. In the latter the droplets are connected by a finite superfluid density, which leads - in addition to the periodic density modulation - to a robust phase coherence throughout the whole system. We further… 

Figures from this paper

Patterned Supersolids in Dipolar Bose Systems

We study by means of first-principle quantum Monte Carlo simulations the ground state phase diagram of a system of dipolar bosons with aligned dipole moments, and with the inclusion of a two-body

Excitation Spectrum of a Trapped Dipolar Supersolid and Its Experimental Evidence.

Theoretically, it is shown that, when entering the supersolid phase, two distinct excitation branches appear, respectively associated with dominantly crystal and superfluid excitations, and these results confirm infinite-system predictions, showing that finite-size effects play only a small qualitative role.

Self-bound dipolar droplets and supersolids in molecular Bose-Einstein condensates

We numerically study the many-body physics of molecular Bose-Einstein condensates with strong dipole-dipole interactions. We observe the formation of self-bound droplets, and explore phase diagrams

Supersolid Properties of a Bose-Einstein Condensate in a Ring Resonator.

The dynamics of a Bose-Einstein condensate interacting with two noninterfering and counterpropagating modes of a ring resonator is investigated and the supersolid phase is obtained for sufficiently equal pump strengths for the two modes.

Supersolidity in an elongated dipolar condensate

We present a theory for the emergence of a supersolid state in a cigar-shaped dipolar quantum Bose gas. Our approach is based on a reduced three-dimensional (3D) theory, where the condensate

Two-dimensional quantum droplets in dipolar Bose gases

We calculate analytically the quantum and thermal fluctuations corrections of a dilute quasi-two-dimensional Bose-condensed dipolar gas. We show that these fluctuations may change their character

Dynamics of Stripe Patterns in Supersolid Spin-Orbit-Coupled Bose Gases.

Despite ground-breaking observations of supersolidity in spin-orbit-coupled Bose-Einstein condensates, until now the dynamics of the emerging spatially periodic density modulations has been vastly

Quantum droplets in a dipolar Bose gas at a dimensional crossover

We study the beyond-mean-field corrections to the energy of a dipolar Bose gas confined to two dimensions by a box potential with dipoles oriented in plane such that their interaction is anisotropic

Long-Lived and Transient Supersolid Behaviors in Dipolar Quantum Gases

By combining theory and experiments, we demonstrate that dipolar quantum gases of both $^{166}$Er and $^{164}$Dy support a state with supersolid properties, where a spontaneous density modulation and

Density Fluctuations across the Superfluid-Supersolid Phase Transition in a Dipolar Quantum Gas

Phase transitions share the universal feature of enhanced fluctuations near the transition point. Here we show that density fluctuations reveal how a Bose-Einstein condensate of dipolar atoms

Observation of stable stripes in a dipolar quantum gas

In dipolar quantum gases, the competition of dipole-dipole and contact interactions leads to two seemingly disconnected phenomena: a tunable rotonic spectrum, with an associated rotonic instability,

Long-Lived and Transient Supersolid Behaviors in Dipolar Quantum Gases

By combining theory and experiments, we demonstrate that dipolar quantum gases of both $^{166}$Er and $^{164}$Dy support a state with supersolid properties, where a spontaneous density modulation and

Supersolid behavior of a dipolar Bose-Einstein condensate confined in a tube

Motivated by a recent experiment [L. Chomaz et al., Nat. Phys. 14, 442 (2018)], we perform numerical simulations of a dipolar Bose-Einstein condensate (BEC) in a tubular, periodic confinement at

Striped states in a many-body system of tilted dipoles

We study theoretically and experimentally the behavior of a strongly confined dipolar Bose-Einstein condensate in the regime of quantum-mechanical stabilization by beyond-mean-field effects.

Ground-state phase diagram of a dipolar condensate with quantum fluctuations

We consider the ground state properties of a trapped dipolar condensate under the influence of quantum fluctuations. We show that this system can undergo a phase transition from a low density

Onset of a modulational instability in trapped dipolar Bose-Einstein condensates

We explore the phase diagram of a finite-sized dysprosium dipolar Bose-Einstein condensate in a cylindrical harmonic trap. We monitor the final state after the scattering length is lowered from the

Observation of Quantum Droplets in a Strongly Dipolar Bose Gas.

By systematic measurements on individual droplets it is demonstrated quantitatively that quantum fluctuations mechanically stabilize them against the mean-field collapse, and the interference of several droplets indicating that this stable many-body state is phase coherent.

Observing the Rosensweig instability of a quantum ferrofluid

This work uses in situ imaging to directly observe the spontaneous transition from an unstructured superfluid to an ordered arrangement of droplets in an atomic dysprosium Bose–Einstein condensate and shows spontaneous translational symmetry breaking.

Quantum filaments in dipolar Bose-Einstein condensates

Collapse in dipolar Bose-Einstein condensates may be arrested by quantum fluctuations. Due to the anisotropy of the dipole-dipole interactions, the dipole-driven collapse induced by soft excitations

Dysprosium dipolar Bose-Einstein condensate with broad Feshbach resonances

We produce Bose-Einstein condensates of $^{162}\mathrm{Dy}$ atoms employing an innovative technique based on a resonator-enhanced optical trap that allows efficient loading from the magneto-optical