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The recent realization of synthetic spin-orbit coupling represents an outstanding achievement in the physics of ultracold quantum gases. In this review we explore the properties of a spin-orbit-coupled Bose-Einstein condensate with equal…

Quantum Gases · Physics 2016-04-05 Yun Li , Giovanni I. Martone , Sandro Stringari

We developed functional integral formulation for the stripe phase of a spinor Bose-Einstein condensates with Rashba spin-orbit coupling. The excitation spectrum is found to exhibit double gapless band structures, identified to be two…

Quantum Gases · Physics 2018-04-05 Renyuan Liao

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…

Quantum Gases · Physics 2021-11-24 Giovanni I. Martone , Sandro Stringari

By calculating the density response function we identify the excitation spectrum of a Bose-Einstein condensate with equal Rashba and Dresselhaus spin-orbit coupling. We find that the velocity of sound along the direction of spin-orbit…

Quantum Gases · Physics 2013-03-29 Giovanni I. Martone , Yun Li , Lev P. Pitaevskii , Sandro Stringari

We consider a traveling supersolid stripe pattern in a spin-orbit-coupled Bose gas. This configuration is associated with an unequal population of the two single-particle energy minima, giving rise to a chemical potential difference that…

Quantum Gases · Physics 2026-01-30 G. I. Martone , G. V. Shlyapnikov

Spin-orbit-coupled Bose-Einstein condensates are a flexible experimental platform to engineer synthetic quantum many-body systems. In particular, they host the so-called stripe phase, an instance of a supersolid state of matter. The…

Quantum Gases · Physics 2026-03-24 C. S. Chisholm , S. Hirthe , V. B. Makhalov , R. Ramos , R. Vatré , J. Cabedo , A. Celi , L. Tarruell

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 unexplored. Here, we demonstrate the…

We study the superfluidity of a spin-orbit coupled Bose-Einstein condensate (BEC) by computing its Bogoliubov excitations, which are found to consist of two branches: one is gapless and phonon-like at long wavelength; the other is typically…

Quantum Gases · Physics 2013-01-07 Qizhong Zhu , Chuanwei Zhang , Biao Wu

We investigate the collective excitation spectrum and dynamics of a quasi two-dimensional spin-1 Bose-Einstein condensate with Rashba type spin-orbit (SO) coupling. Employing Bogoliubov-de-Gennes analysis, we analytically compute the…

The striped phase exhibited by a spin-$1/2$ Bose-Einstein condensate with spin-orbit coupling is characterized by the spontaneous breaking of two continuous symmetries: gauge and translational symmetry. This is a peculiar feature of…

Quantum Gases · Physics 2014-12-03 Giovanni I. Martone , Yun Li , Sandro Stringari

Supersolidity is deeply connected with the emergence of Goldstone modes, reflecting the spontaneous breaking of both phase and translational symmetry. Here, we propose accessible signatures of these modes in harmonically trapped…

Quantum Gases · Physics 2021-09-21 Kevin T. Geier , Giovanni I. Martone , Philipp Hauke , Sandro Stringari

We compute the the Bogoliubov-de-Gennes excitation spectrum in a trapped two-component spin-orbit-coupled (SOC) Bose-Einstein condensate (BEC) in quasi-two-dimensions as a function of linear and angular momentum and analyse them. The…

Quantum Gases · Physics 2023-10-16 Inderpreet Kaur , Sankalpa Ghosh

We study the spectrum of elementary excitations of a dipolar Bose gas in a three-dimensional anisotropic trap across the superfluid-supersolid phase transition. Theoretically, we show that, when entering the supersolid phase, two distinct…

Quantum Gases · Physics 2019-08-12 G. Natale , R. M. W. van Bijnen , A. Patscheider , D. Petter , M. J. Mark , L. Chomaz , F. Ferlaino

We consider the ground states, excitations and dynamics of a quasi-two-dimensional binary dipolar Bose-Einstein condensate. Our focus is on the transition to a spin-stripe ground state in which the translational invariance is spontaneously…

Quantum Gases · Physics 2024-02-22 Au-Chen Lee , D. Baillie , P. B. Blakie

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

While a spin-orbit-coupled spin-1 Bose-Einstein condensate has been experimentally observed, its elementary excitations remain unclear in the stripe phase. Here, we systematically study the elementary excitations in three distinct phases of…

Quantum Gases · Physics 2022-08-24 Yuanyuan Chen , Hao Lyu , Yong Xu , Yongping Zhang

We investigate the spectrum of spin conductivity for a miscible two-component Bose-Einstein condensate (BEC) that exhibits spin superfluidity. By using the Bogoliubov theory, the regular part being the spin conductivity at finite ac…

Quantum Gases · Physics 2023-04-28 Yuta Sekino , Hiroyuki Tajima , Shun Uchino

We calculate analytically the Bogoliubov excitation spectrum of a toroidal spin-1 Bose-Einstein condensate that is subjected to a homogeneous magnetic field and contains vortices with arbitrary winding numbers in the $m_F=\pm 1$ components…

Quantum Gases · Physics 2015-06-12 H. Mäkelä , E. Lundh

We report on a measurement of splitting in the excitation spectrum of a condensate driven by an optical travelling wave. Experimental results are compared to a numerical solution of the Gross Pitaevskii equation, and analyzed by a simple…

Soft Condensed Matter · Physics 2009-11-10 E. Rowen , R. Ozeri , N. Katz , E. Gershnabel , N. Davidson

The phase diagram of a spin-orbit-coupled two-component Bose gas includes a supersolid stripe phase, which is featuring density modulations along the direction of the spin-orbit coupling. This phase has been recently found experimentally…

Quantum Gases · Physics 2019-01-25 Giovanni I. Martone , Georgy V. Shlyapnikov
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