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In this paper, we present a systematic study on the ground state computation of quantum droplets in homonuclear Bose-Bose mixtures, governed by the extended Gross-Pitaevskii equations (eGPEs) with Lee-Huang-Yang (LHY) corrections. This…

Quantum Gases · Physics 2026-04-02 Wei Liu , Limin Xu

We present a survey of macroscopic excitations of harmonically confined Bose-Einstein condensates (BEC), described by Gross-Pitaevskii (GP) equation, in search of routes to develop quantum turbulence. These excitations can all be created by…

Quantum Gases · Physics 2015-05-20 R. Zamora-Zamora , O. Adame-Arana , V. Romero-Rochín

In order to understand the nature of the two-dimensional Bose-Einstein condensed (BEC) phase in BaCuSi2O6, we performed detailed 63Cu and 29Si NMR above the critical magnetic field, Hc1= 23.4 T. The two different alternating layers present…

Strongly Correlated Electrons · Physics 2013-06-19 S. Krämer , N. Laflorencie , R. Stern , M. Horvatić , C. Berthier , H. Nakamura , T. Kimura , F. Mila

Quantum computation using qubits made of two component Bose-Einstein condensates (BECs) is analysed. The use of BECs allows for an increase of energy scales via bosonic enhancement, resulting in gate operations that can be performed at a…

Quantum Physics · Physics 2012-04-27 Tim Byrnes , Kai Wen , Yoshihisa Yamamoto

We simulate the growth of a dual species Bose-Einstein condensate using a Gross-Pitaevskii equation with an additional gain term giving rise to the growth. Such growth occurs during simultaneous evaporative cooling of a mixture of two…

Other Condensed Matter · Physics 2009-11-13 Shai Ronen , John L. Bohn , Laura E. Halmo , Mark Edwards

Bose-Einstein condensation in the presence of a synthetic spin-momentum interaction is considered, focusing on the case where a Dirac or Rashba potential is generated via a tripod scheme. We found that the ground states can be either plane…

Quantum Gases · Physics 2015-05-19 S. -K. Yip

A condensate with two internal states coupled by external electromagnetic radiation, is described by coupled Gross Pitaevskii equations, whose eigenstates are analogous to the dressed states of quantum optics. We solve for these eigenstates…

Condensed Matter · Physics 2009-10-31 P. B. Blakie , R. J. Ballagh , C. W. Gardiner

The ground state of a homogeneous Bose gas of hard spheres is treated in self-consistent mean-field theory. It is shown that this approach provides an accurate description of the ground state of a Bose-Einstein condensed gas for arbitrarily…

Quantum Gases · Physics 2015-06-22 V. I. Yukalov , E. P. Yukalova

Lasers and Bose-Einstein condensates (BECs) exhibit macroscopic quantum coherence in seemingly unrelated ways. Lasers possess a well-defined global phase and are characterized by large fluctuations in the number of photons. In BECs of…

Quantum Physics · Physics 2023-03-03 Emanuele G. Dalla Torre , Matthew J. Reagor

We show that self-localized ground states can be created in the spin-balanced gas of fermions with repulsion between the spin components, whose strength grows from the center to periphery, in combination with the harmonic-oscillator (HO)…

Quantum Gases · Physics 2013-06-07 Luis E. Young-S , Luca Salasnich , Boris A. Malomed

Bose-Einstain condensation occurs at an appropriate density of bosonic particles, depending on their mass and temperature. We were able to experimentally observe the transition from the spin wave regime to the magnon Bose-Einstein condensed…

Mesoscale and Nanoscale Physics · Physics 2023-01-26 G. A. Knyazev , A. N. Kuzmichev , P. E. Petrov , I. V. Savochkin , P. M. Vetoshko , V. I. Belotelov , Yu. M. Bunkov

Coherence is a defining feature of quantum condensates. These condensates are inherently multimode phenomena and in the macroscopic limit it becomes extremely difficult to resolve populations of individual modes and the coherence between…

The projected entangled pair states (PEPS) methods have been proved to be powerful tools to solve the strongly correlated quantum many-body problems in two-dimension. However, due to the high computational scaling with the virtual bond…

Quantum Physics · Physics 2017-05-31 Wen-Yuan Liu , Shao-Jun Dong , Yong-Jian Han , Guang-Can Guo , Lixin He

The gradient flow with semi-implicit discretization (GFSI) is the most widely used algorithm for computing the ground state of Gross-Pitaevskii energy functional. Numerous numerical experiments have shown that the energy dissipation holds…

Numerical Analysis · Mathematics 2025-10-23 Zixu Feng , Lunxu Liu , Qinglin Tang

We present a detailed study to show the possibility of approaching the quantum ground-state of a hybrid optomechanical quantum device formed by a Bose-Einstein condensate (BEC) confined inside a high-finesse optical cavity with an…

Quantum Gases · Physics 2015-06-12 Sonam Mahajan , Neha Aggarwal , Aranya B Bhattacherjee , ManMohan

We consider the phenomenon of Bose-Einstein condensation in a random growing directed network. The network grows by the addition of vertices and edges. At each time step the network gains a vertex with probabilty $p$ and an edge with…

Statistical Mechanics · Physics 2009-11-10 Oscar Sotolongo-Costa , G. J. Rodgers

It is believed that one of the first useful applications for a quantum computer will be the preparation of groundstates of molecular Hamiltonians. A crucial task involving state preparation and readout is obtaining physical observables of…

We compute the ground-state properties of fully polarized, trapped, one-dimensional fermionic systems interacting through a gaussian potential. We use an antisymmetric artificial neural network, or neural quantum state, as an ansatz for the…

Nuclear Theory · Physics 2024-02-09 J. W. T. Keeble , M. Drissi , A. Rojo-Francàs , B. Juliá-Díaz , A. Rios

We find an efficient approach to approximately convert matrix product states (MPSs) into restricted Boltzmann machine wave functions consisting of a multinomial hidden unit through a canonical polyadic (CP) decomposition of the MPSs. This…

Strongly Correlated Electrons · Physics 2025-10-29 Ryui Kaneko , Shimpei Goto

We study analytically and numerically the generation of shock waves in a quasi one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D…

Pattern Formation and Solitons · Physics 2016-03-30 Luca Salasnich