Sum rules, dipole oscillation and spin polarizability of a spin-orbit coupled quantum gas

Li, Yun; Martone, Giovanni I.; Stringari, S.

doi:10.1209/0295-5075/99/56008

Cited by 73 publications

(92 citation statements)

References 41 publications

(66 reference statements)

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“…The SOC can be produced in various forms, simulating the Rashba and the Dresselhaus symmetries [14,15] known in solid state physics. This coupling opens a venue to the appearance of new phases in a variety of ultracold bosonic [16][17][18][19][20][21][22][23][24][25] and fermionic [26][27][28][29] ensembles. The SOC plays a crucial role in BEC physics in uniform three-dimensional gases with interparticle repulsion and makes condensation possible only at zero temperature [30], while at a finite temperature the thermal depletion of the condensate diverges [31].…”

Section: Introductionmentioning

confidence: 96%

Collapse of spin-orbit-coupled Bose-Einstein condensates

et al. 2015

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A finite-size quasi-two-dimensional Bose-Einstein condensate collapses if the attraction between atoms is sufficiently strong. Here we present a theory of collapse for condensates with the interatomic attraction and spin-orbit coupling. We consider two realizations of spin-orbit coupling: the axial Rashba coupling and the balanced, effectively one-dimensional Rashba-Dresselhaus one. In both cases spin-dependent "anomalous" velocity, proportional to the spin-orbit-coupling strength, plays a crucial role. For the Rashba coupling, this velocity forms a centrifugal component in the density flux opposite to that arising due to the attraction between particles and prevents the collapse at a sufficiently strong coupling. For the balanced Rashba-Dresselhaus coupling, the spin-dependent velocity can spatially split the initial state in one dimension and form spin-projected wave packets, reducing the total condensate density. Depending on the spin-orbit-coupling strength, interatomic attraction, and initial state, this splitting either prevents the collapse or modifies the collapse process. These results show that the collapse can be controlled by a spin-orbit coupling, thus extending the domain of existence of condensates of attracting atoms.

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Section: Introductionmentioning

confidence: 96%

Collapse of spin-orbit-coupled Bose-Einstein condensates

et al. 2015

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“…The above transition is associated with a divergent behavior of the magnetic susceptibility and with a large increase of the effective mass. At a dynamic level it is characterized by the softening of the sound velocity [12][13][14] and of the frequency of the collective oscillations in the presence of harmonic trapping [15,16]. When one decreases the value of the Raman coupling the planewave phase eventually disappears in favor of the so-called striped phase [11,[17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Optical-lattice-assisted magnetic phase transition in a spin-orbit-coupled Bose-Einstein condensate

Martone

Ozawa

et al. 2016

Phys. Rev. A

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We investigate the effect of a periodic potential generated by a one-dimensional optical lattice on the magnetic properties of an S = 1/2 spin-orbit-coupled Bose gas. By increasing the lattice strength one can achieve a magnetic phase transition between a polarized and an unpolarized Bloch wave phase, characterized by a significant enhancement of the contrast of the density fringes. If the wave vector of the periodic potential is chosen close to the roton momentum, the transition could take place at very small lattice intensities, revealing the strong enhancement of the response of the system to a weak density perturbation. By solving the Gross-Pitaevskii equation in the presence of a three-dimensional trapping potential, we shed light on the possibility of observing the magnetic phase transition in currently available experimental conditions.

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“…However, when there are no available data, or when the measurements are either limited in energy range or too scattered for a reliable estimation of the response function, one must rely on theory for evaluating the SRs. In many cases SRs can be directly obtained from groundstate expectation values of operators, and in some special cases they can even be evaluated in a model independent or quasi-independent way [16,17]. Best known examples are the Thomas-Reiche-Kuhn sum rule [1] and the bremsstrahlung sum rule [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Efficient method for evaluating energy-dependent sum rules

et al. 2014

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Energy-dependent sum rules are useful tools in many fields of physics. In nuclear physics, they typically involve an integration of the response function over the nuclear spectrum with a weight function composed of integer powers of the energy. More complicated weight functions are also encountered, e.g., in nuclear polarization corrections of atomic spectra. Using the Lorentz integral transform method and the Lanczos algorithm, we derive a computationally efficient technique for evaluating such sum rules that avoids the explicit calculation of both the continuum states and the response function itself. Our numerical results for electric dipole sum rules of the 4 He nucleus with various energy-dependent weights show rapid convergence with respect to the number of Lanczos steps. This demonstrates the usefulness of the method in a variety of electroweak reactions.

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Sum rules, dipole oscillation and spin polarizability of a spin-orbit coupled quantum gas

Cited by 73 publications

References 41 publications

Collapse of spin-orbit-coupled Bose-Einstein condensates

Collapse of spin-orbit-coupled Bose-Einstein condensates

Optical-lattice-assisted magnetic phase transition in a spin-orbit-coupled Bose-Einstein condensate

Efficient method for evaluating energy-dependent sum rules

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