Coherent oscillations in small Fermi-polaron systems

Tylutki, Marek; Astrakharchik, G. E.; Recati, Alessio

doi:10.1103/physreva.96.063603

Cited by 29 publications

(19 citation statements)

References 31 publications

(46 reference statements)

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“…Different methods have been employed to tackle the many-body problem of bosons in a double-well, even outside the mean-field regime [43][44][45][46][47]. Addressing the subject from a few-body perspective [48][49][50][51][52], however, might lead to new insight on the properties of these systems. Here we show that, in the regime where the repulsion between the impurity and the background is dominant, the system can exhibit non-trivial dynamical effects: the impurity undergoes Josephson-like oscillations when initialized at the edge of the system, and can have its tunneling enhanced when a barrier is present.…”

Section: Introductionmentioning

confidence: 99%

Emergence of junction dynamics in a strongly interacting Bose mixture

2018

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We study the dynamics of a one-dimensional system composed of a bosonic background and one impurity in single-and double-well trapping geometries. In the limit of strong interactions, this system can be modeled by a spin chain where the exchange coefficients are determined by the geometry of the trap. We observe non-trivial dynamics when the repulsion between the impurity and the background is dominant. In this regime, the system exhibits oscillations that resemble the dynamics of a Josephson junction. Furthermore, the double-well geometry allows for an enhancement in the tunneling as compared to the single-well case.

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Section: Introductionmentioning

confidence: 99%

Emergence of junction dynamics in a strongly interacting Bose mixture

2018

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“…Examples of other problems discussed with the use of the LMT or the Lieb-Schultz-Mattis theorem can be found in Refs. [7][8][9][10][11][12][13][14]. On the other hand, there are many attempts to extend these theorems (e.g.…”

Section: Introductionmentioning

confidence: 99%

The Lieb–Mattis theorem revisited

Florek¹

2018

Nanosystems: Phys. Chem. Math.

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Simple formulation and a straightforward proof of the Lieb-Mattis theorem (LMT) do not indicate how powerful a tool it is. For more than fifty years, this theorem has been mainly discussed in its 'strong' form and applied mainly to many type of infinite spin lattices. It can be easily proved that in such cases, geometrically frustrated systems have to be excluded. However, it has been recently shown that the so-called 'weak' or general form of the LMT can be exploited considering some small, geometrically frustrated quantum spin systems. Moreover, many systems, which do not satisfy assumptions of the LMT, show identical features, including the level order characteristic for bipartite spin systems. It yields a question about possible generalizations or modifications of this theorem to involve a larger class of problems. To begin, algebraic aspects have to be understood with the invaluable role of the Perron-Frobenius theorem. The latter theorem is investigated, discussed, modified etc. in immense number of works. Many of them are important in physical applications and ways of reasoning they present can be exploited in different approaches to the LMT.

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“…We notice that this Hamiltonian reproduces the fermionic cases presented, for instance, in refs 33,37 . We focus mostly on the 3 + 1 case, which can be interpreted as a few-body Fermi background in the presence of an impurity 61 . As we will show next, in this simple setup it is already possible to describe the decoupling of spin and density dynamics.…”

Section: Resultsmentioning

confidence: 99%

Dynamics of spin and density fluctuations in strongly interacting few-body systems

Barfknecht¹,

Foerster²,

Zinner³

2019

Sci Rep

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The decoupling of spin and density dynamics is a remarkable feature of quantum one-dimensional many-body systems. In a few-body regime, however, little is known about this phenomenon. To address this problem, we study the time evolution of a small system of strongly interacting fermions after a sudden change in the trapping geometry. We show that, even at the few-body level, the excitation spectrum of this system presents separate signatures of spin and density dynamics. Moreover, we describe the effect of considering additional internal states with SU(N) symmetry, which ultimately leads to the vanishing of spin excitations in a completely balanced system.

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Coherent oscillations in small Fermi-polaron systems

Cited by 29 publications

References 31 publications

Emergence of junction dynamics in a strongly interacting Bose mixture

Emergence of junction dynamics in a strongly interacting Bose mixture

The Lieb–Mattis theorem revisited

Dynamics of spin and density fluctuations in strongly interacting few-body systems

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