Integrable dynamics of coupled Fermi-Bose condensates

Yuzbashyan, Emil A.; Кузнецов, В. А.; Altshuler, B. L.

doi:10.1103/physrevb.72.144524

Cited by 57 publications

(96 citation statements)

References 40 publications

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“…In the case g i = g the model we have considered is exactly solvable, and its solution is equivalent to that of the BCS model [36]. The linear stability analysis above can be extended by linking it to the exact solutions through the concept of the Lax vector.…”

Section: Exact Solutionsmentioning

confidence: 99%

“…The next simplest solutions correspond to an ansatz proposed by Barankov and Levitov [38], and have oscillations of the order parameter described by elliptic functions. An approach for determining the type of solution which evolves from a given initial condition is discussed in [39], and can be applied to the Dicke model using the Lax vector given in [36].…”

Section: Exact Solutionsmentioning

confidence: 99%

“…In recent work [36], the non-equilibrium gap equation (4) is derived from an exact solution to the model (3a -3c). This solution applies to the special case g i = g in which the model is integrable.…”

Section: Exact Solutionsmentioning

confidence: 99%

See 2 more Smart Citations

The new physics of non-equilibrium condensates: insights from classical dynamics

Eastham¹

2007

J. Phys.: Condens. Matter

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Abstract. We discuss the dynamics of classical Dicke-type models, aiming to clarify the mechanisms by which coherent states could develop in potentially non-equilibrium systems such as semiconductor microcavities.We present simulations of an undamped model which show spontaneous coherent states with persistent oscillations in the magnitude of the order parameter. These states are generalisations of superradiant ringing to the case of inhomogeneous broadening. They correspond to the persistent gap oscillations proposed in fermionic atomic condensates, and arise from a variety of initial conditions. We show that introducing randomness into the couplings can suppress the oscillations, leading to a limiting dynamics with a time-independent order parameter. This demonstrates that non-equilibrium generalisations of polariton condensates can be created even without dissipation. We explain the dynamical origins of the coherence in terms of instabilities of the normal state, and consider how it can additionally develop through scattering and dissipation.

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Section: Exact Solutionsmentioning

confidence: 99%

Section: Exact Solutionsmentioning

confidence: 99%

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The new physics of non-equilibrium condensates: insights from classical dynamics

Eastham¹

2007

J. Phys.: Condens. Matter

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“…The Lax vector L(w) is a three-dimensional vector whose components are rational polynomials of an auxiliary complex variable w and is defined as [43] …”

Section: Analysis Of the Pairing Oscillationsmentioning

confidence: 99%

“…Time-dependent couplings can be realized, for example, by varying the intensity of the laser that fixes the amplitude of an optical lattice or by changing the atomic scattering length through sweeping an external magnetic field across a Feshbach resonance. This problem, which has attracted a lot of attention recently [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18], is what we consider as well.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium pairing instability in ultracold Fermi gases with population imbalance

et al. 2008

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We present detailed numerical and analytical investigations of the nonequilibrium dynamics of spin-polarized ultracold Fermi gases following a sudden switching-on of the atom-atom pairing coupling strength. Within a time-dependent mean-field approach we show that on increasing the imbalance it takes longer for pairing to develop, the period of the nonlinear oscillations lengthens, and the maximum value of the pairing amplitude decreases. As expected, dynamical pairing is suppressed by the increase of the imbalance. Eventually, for a critical value of the imbalance the nonlinear oscillations do not even develop. Finally, we point out an interesting temperature-reentrant behavior of the exponent characterizing the initial instability.

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BEC–BCS crossover in a (p+ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs

Dunning¹,

Isaac²,

Links³

et al. 2011

Nuclear Physics B

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We analyse a p + ip-wave pairing BCS Hamiltonian, coupled to a single bosonic degree of freedom representing a molecular condensate, and investigate the nature of the BEC-BCS crossover for this system. For a suitable restriction on the coupling parameters, we show that the model is integrable and we derive the exact solution by the algebraic Bethe ansatz. In this manner we also obtain explicit formulae for correlation functions and compute these for several cases. We find that the crossover between the BEC state and the strong pairing p+ip phase is smooth for this model, with no intermediate quantum phase transition.

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Integrable dynamics of coupled Fermi-Bose condensates

Cited by 57 publications

References 40 publications

The new physics of non-equilibrium condensates: insights from classical dynamics

The new physics of non-equilibrium condensates: insights from classical dynamics

Nonequilibrium pairing instability in ultracold Fermi gases with population imbalance

BEC–BCS crossover in a (p+ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs

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