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We provide an analytically tractable toy model of an infinitely heavy impurity interacting with the spin-polarized gas of bath fermions via a contact potential in 1D and placed in a harmonic trap. The solution to this problem requires…

Quantum Gases · Physics 2025-09-03 Nikolay Yegovtsev

We explore a new variational principle for studying one-dimensional quantum systems in a trapping potential. We focus on the Fermi polaron problem, where a single distinguishable impurity interacts through a contact potential with a…

Quantum Gases · Physics 2019-08-09 E. J. Lindgren , R. E. Barfknecht , N. T. Zinner

We study a highly imbalanced Fermi gas in a one-dimensional optical lattice from the polaronic point of view. The time-evolving block decimationg algorithm is used to calculate the ground state and dynamics of the system. We find…

We investigate the Fermi polaron problem in a spin-1/2 Fermi gas in an optical lattice for the limit of both strong repulsive contact interactions and one dimension. In this limit, a polaronic-like behaviour is not expected, and the physics…

Quantum Gases · Physics 2017-07-11 C. W. Duncan , F. F. Bellotti , P. Öhberg , N. T. Zinner , M. Valiente

We study a two-dimensional system of spin-polarized fermions on the kagome lattice at filling fraction f=1/3 interacting through a nearest-neighbor interaction V. Above a critical interaction strength V_c a charge-density wave with a broken…

Strongly Correlated Electrons · Physics 2015-03-17 Andreas Ruegg , Gregory A. Fiete

We explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where…

Quantum Gases · Physics 2015-06-11 Ioannis Brouzos , Peter Schmelcher

Based on the recently developed interaction renormalization for the one-dimensional $p$-wave interaction, we study the problem of a single impurity immersed in a highly polarized Fermi sea. They interact through a narrow $p$-wave Feshbach…

Quantum Gases · Physics 2020-07-14 Yinfeng Ma , Xiaoling Cui

We present a nonperturbative computation of the equation of state of polarized, attractively interacting, nonrelativistic fermions in one spatial dimension at finite temperature. We show results for the density, spin magnetization, magnetic…

Quantum Gases · Physics 2015-12-08 A. C. Loheac , J. Braun , J. E. Drut , D. Roscher

Using solutions of the discrete Bethe ansatz equations, we study in detail the quantum impurity problem of a spin-down fermion immersed into a fully ploarized spin-up Fermi sea with weak attraction. We prove that this impurity fermion in…

Quantum Gases · Physics 2012-02-15 Xi-Wen Guan

Mobile impurities in cold atomic gases constitute a new platform for investigating polaron physics. Here we show that when impurity atoms interact with a two-dimensional Fermi gas with quadratic band touching the polaron picture may either…

Quantum Gases · Physics 2016-12-14 M. A. Caracanhas , R. G. Pereira

We theoretically investigate the behavior of a moving impurity immersed in a sea of fermionic atoms that are confined in a quasi-periodic (bichromatic) optical lattice, within a standard variational approach. We consider both repulsive and…

Quantum Gases · Physics 2016-05-11 Hui Hu , An-Bang Wang , Su Yi , Xia-Ji Liu

We consider a single spin-down impurity atom interacting via an attractive, short-range potential with a spin-up Fermi sea in two dimensions (2D). Similarly to 3D, we show how the impurity can form a metastable state (the "repulsive…

Quantum Gases · Physics 2012-05-11 V. Ngampruetikorn , J. Levinsen , Meera M. Parish

In this work we analyze the dynamical behavior of the collision between two clouds of fermionic atoms with opposite spin polarization. By means of the time-evolving block decimation (TEBD) numerical method, we simulate the collision of two…

Quantum Gases · Physics 2015-05-27 J. Kajala , F. Massel , And P. Törmä

We study the spectrum of an impurity coupled to a Fermi sea (e.g., minority atom in an ultracold gas, exciton in a solid) by attraction strong enough to form a molecule/trion. We introduce a diagrammatic scheme which allows treating a…

Strongly Correlated Electrons · Physics 2018-12-19 Dimitri Pimenov , Moshe Goldstein

We study a new type of Fermi polaron induced by an impurity interacting with an ultracold Fermi superfluid. Due to the three-component nature of the system, the polaron can become trimer-like with a non-universal energy spectrum. We…

Quantum Gases · Physics 2015-07-17 Wei Yi , Xiaoling Cui

We study the repulsive polaron problem in a two-component two-dimensional system of fermionic atoms. We use two different interaction models: a short-range (hard-disk) potential and a dipolar potential. In our approach, all the atoms have…

We study the ground state and excitations of a one-dimensional trapped polarized Fermi gas interacting with a single impurity. First, we study the tunnelling dynamics of the impurity through a potential barrier, such as one effectively…

Quantum Gases · Physics 2017-12-05 Marek Tylutki , G. E. Astrakharchik , Alessio Recati

We analyze interacting one-dimensional bosons in the continuum, subject to a periodic sinusoidal potential of arbitrary depth. Variation of the lattice depth tunes the system from the Bose-Hubbard limit for deep lattices, through the…

Quantum Gases · Physics 2013-06-21 Achilleas Lazarides , Masudul Haque

The dynamics of a single impurity in an environment is a fundamental problem in many-body physics. In the solid state, a well-known case is an impurity coupled to a bosonic bath, for example lattice vibrations. Here the impurity together…

In this work we study a system of two distinguishable fermions in a 1D harmonic potential. This system has the exceptional property that there is an analytic solution for arbitrary values of the interparticle interaction. We tune the…

Quantum Gases · Physics 2013-07-16 G. Zürn , F. Serwane , T. Lompe , A. N. Wenz , M. G. Ries , J. E. Bohn , S. Jochim
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