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One-dimensional quantum droplets under linear gravitational-like trap
Authors:
Saurab Das,
Jayanta Bera,
Ajay Nath
Abstract:
We investigate the influence of a constant and time-dependent linear gravitational-like potential on one-dimensional quantum droplets (QDs), governed by an extended GPE incorporating a repulsive cubic effective mean-field (EMF) term and an attractive quadratic beyond-mean-field (BMF) correction. Within a tailored external confinement, we analytically characterize the QDs wavefunction and derive th…
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We investigate the influence of a constant and time-dependent linear gravitational-like potential on one-dimensional quantum droplets (QDs), governed by an extended GPE incorporating a repulsive cubic effective mean-field (EMF) term and an attractive quadratic beyond-mean-field (BMF) correction. Within a tailored external confinement, we analytically characterize the QDs wavefunction and derive the effective interaction contributions. Analogous to classical Newtonian dynamics, the falling velocity of the droplet within a finite domain is found to depend solely on the strength of the linear gravitational like potential, remaining independent of both the total atom number and the magnitude of EMF nonlinearity. When the linear potential is temporally modulated, deviations in the trajectory of the droplet emerge relative to the static case, indicating potential applicability in precision gravimetry. To further probe the dynamical coherence properties, we compute the Shannon entropy and the Wigner quasi-probability distribution. Both measures reveal distinct signatures of the constant and time varying linear potential, with the modulation strength directly influencing the phase-space localization and coherence structure of the droplet. Numerical simulations substantiate the stability of the analytical solutions, demonstrating their robustness. These findings suggest promising implications for quantum sensing and metrological applications using ultradilute quantum fluids.
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Submitted 5 August, 2025;
originally announced August 2025.
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Dispersion Managed Elliptical Atomtronics for Interferometry
Authors:
Sriganapathy Raghav,
Suranjana Ghosh,
Jayanta Bera,
Utpal Roy
Abstract:
Circular atomtronics is known to exhibit a uniform ground state, unlike elliptical atomtronics. In elliptical atomtronics, the matter wave tends to accumulate along the semimajor edges during its time dynamics, which we depict by the survival function. Consequently, the dynamical time scales become coupled to the eccentricity, making the dynamics nontrivial for applications. We report that an appr…
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Circular atomtronics is known to exhibit a uniform ground state, unlike elliptical atomtronics. In elliptical atomtronics, the matter wave tends to accumulate along the semimajor edges during its time dynamics, which we depict by the survival function. Consequently, the dynamical time scales become coupled to the eccentricity, making the dynamics nontrivial for applications. We report that an appropriate dispersion management can decouple the time scales from the eccentricity. One can choose the suitable dispersion coefficient from the overlap function involving the corresponding ground state. We focus on producing distinct fractional matter waves inside an elliptical waveguide to achieve efficient atom interferometry. The said dispersion engineering can recover fractional revivals in the elliptical waveguide, analogous to the circular case. We demonstrate atom interferometry for the engineered elliptical atomtronics, where matter wave interference is mediated by an external harmonic trap for controlled interference patterns.
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Submitted 2 December, 2024; v1 submitted 13 April, 2024;
originally announced April 2024.
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Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice
Authors:
B. Halder,
S. Ghosh,
P. Basu,
J. Bera,
B. Malomed,
Utpal Roy
Abstract:
We address dynamics of Bose-Einstein condensates (BECs) loaded into a one-dimensional four-color optical lattice (FOL) potential with commensurate wavelengths and tunable intensities. This configuration lends system-specific symmetry properties. The analysis identifies specific multi-parameter forms of the FOL potential which admits exact solitary-wave solutions. This newly found class of potentia…
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We address dynamics of Bose-Einstein condensates (BECs) loaded into a one-dimensional four-color optical lattice (FOL) potential with commensurate wavelengths and tunable intensities. This configuration lends system-specific symmetry properties. The analysis identifies specific multi-parameter forms of the FOL potential which admits exact solitary-wave solutions. This newly found class of potentials includes more particular species, such as frustrated double-well superlattices, and bi-chromatic and three-color lattices, which are subject to respective symmetry constraints. Our exact solutions provide options for controllable positioning of density maxima of the localized patterns, and tunable Anderson-like localization in the frustrated potential. A numerical analysis is performed to establish dynamical stability and structural stability of the obtained solutions, which makes them relevant for experimental realization. The newly found solutions offer applications to the design of schemes for quantum simulations and processing quantum information.
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Submitted 12 January, 2022;
originally announced January 2022.