Supersolidity of cnoidal waves in an ultracold Bose gas

Martone, Giovanni I.; Recati, Alessio; Pavloff, Nicolas

doi:10.1103/physrevresearch.3.013143

Cited by 17 publications

(17 citation statements)

References 82 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This simple relation between Leggett's upper bound and the contrast of fringes is a common feature of shallow one-dimensional supersolids; it was deduced by general arguments in Ref. [66], and directly proven in the case of cnoidal waves [41]. Our perturbative approach enabled us to check its validity in spin-orbit-coupled Bose gases.…”

Section: Superfluid Densitymentioning

confidence: 53%

See 1 more Smart Citation

Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach

Martone

Stringari

2021

SciPost Phys.

View full text Add to dashboard Cite

The phase diagram of a Bose-Einstein condensate with Raman-induced spin-orbit coupling includes a stripe phase with supersolid features. In this work we develop a perturbation approach to study the ground state and the Bogoliubov modes of this phase, holding for small values of the Raman coupling. We obtain analytical predictions for the most relevant observables (including the periodicity of stripes, sound velocities, compressibility, and magnetic susceptibility) which are in excellent agreement with the exact (non perturbative) numerical results, obtained for significantly large values of the coupling. We further unveil the nature of the two gapless Bogoliubov modes in the long-wavelength limit. We find that the spin branch of the spectrum, corresponding in this limit to the dynamics of the relative phase between the two spin components, describes a translation of the fringes of the equilibrium density profile, thereby providing the crystal Goldstone mode typical of a supersolid configuration. Finally, using sum-rule arguments, we show that the superfluid density can be experimentally accessed by measuring the ratio of the sound velocities parallel and perpendicular to the direction of the spin-orbit coupling.

show abstract

Section: Superfluid Densitymentioning

confidence: 53%

“…It is well theoretically understood that a common feature of the excitation spectra of supersolids is the presence of two or more Goldstone modes [30][31][32][33][34][35][36][37][38][39][40][41][42]. In general, one of them is associated with the superfluid motion of particles through the crystalline structure, which stays at rest.…”

Section: Introductionmentioning

confidence: 99%

Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach

Martone

Stringari

2021

SciPost Phys.

View full text Add to dashboard Cite

show abstract

“…( 7) includes a parameter θ 0 that specifies the centre of the bright soliton. This translational symmetry breaking results in the emergence of another Nambu-Goldstone (NG) mode in addition to the one associated with the U(1) symmetry breaking [16,34,38]. This emergence of two distinct NG modes are analogous to supersolid, which has both a crystalline order and a superfluid order [31,[34][35][36][37][39][40][41].…”

Section: Bright Soliton With a Boostmentioning

confidence: 99%

“…Secondly, we derive Leggett's formula from the one-dimensional GP equation including a boost velocity. While Leggett's formula is widely used mainly in the context of supersolid which involves a crystalline order associated with the nonclassical translational inertia [31][32][33], we can straightforwardly obtain it also from the one-dimensional GP equation (see also [34][35][36][37]). The superfluid fraction given by Leggett's formula is determined by the modulus of the macroscopic wavefunction and detects modulational instabilities in the one-dimensional superfluid.…”

Section: Introductionmentioning

confidence: 99%

Superfluid properties of bright solitons in a ring

Furutani,

Salasnich

2021

Preprint

View full text Add to dashboard Cite

We theoretically investigate superfluid properties of a one-dimensional annular superfluid with a boost. We derive the formula of the superfluid fraction in the one-dimensional superfluid, which was originally derived by Leggett in the context of supersolid. We see that the superfluid fraction given by Leggett's formula detects the emergence of solitons in the one-dimensional annular superfluid. The formation of a bright soliton at a critical interaction strength decreases the superfluid fraction. At a critical boost velocity, a node appears in the soliton and the superfluid fraction vanishes. With a transverse dimension, the soliton alters to a more localized one and it undergoes dynamical instability at a critical transverse length. Consequently, the superfluid fraction decreases as one increases the length up to the critical length. With a potential barrier along the ring, the uniform density alters to an inhomogeneous configuration and it develops a soliton localized at one of the potential minima by increasing the interaction strength.

show abstract

“…For instance, to explain the mechanism of photosynthesis [1,2], human vision [3], or photovoltaics [4], one should take into account that they are mainly light-induced excited-state processes. The fluctuation properties of quantum spectra play also a crucial role in the characterization of quantum chaos [5,6], new states of matter [7], and more generally in the understanding of the temporal evolution of isolated many-body quantum systems [8]. Yet, while ground-state properties of a wide range of systems can nowadays be determined by rather accurate and computationally manageable methodologies [9,10], methodological developments to efficiently target excited states are highly in demand [11][12][13][14][15][16][17].…”

mentioning

confidence: 99%

Excitations of Quantum Many-Body Systems via Purified Ensembles: A Unitary-Coupled-Cluster-based Approach

Benavides-Riveros,

Chen,

Schilling

et al. 2022

Preprint

View full text Add to dashboard Cite

State-average calculations based on mixture of states are increasingly being exploited across chemistry and physics as versatile procedures for addressing excitations of quantum many-body systems.If not too many states should need to be addressed, calculations performed on individual states is also a common option. Here we show how the two approaches can be merged into one method, dealing with a generalized yet single pure state. Implications in electronic structure calculations are discussed and for quantum computations are pointed out.

show abstract

Supersolidity of cnoidal waves in an ultracold Bose gas

Cited by 17 publications

References 82 publications

Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach

Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach

Superfluid properties of bright solitons in a ring

Excitations of Quantum Many-Body Systems via Purified Ensembles: A Unitary-Coupled-Cluster-based Approach

Contact Info

Product

Resources

About