Controlling the interaction of ultracold alkaline-earth atoms

Zhang, Ren; Cheng, Yanting; Zhang, Peng; Zhai, Hui

doi:10.1038/s42254-020-0157-9

Cited by 37 publications

(19 citation statements)

References 117 publications

(156 reference statements)

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“…The observations of gain and loss due to depletion of atoms have been attributed to the phenomenon of continuous quantum Zeno effect [13][14][15][16] . Conventional Kondo type systems such as impurities coupled to baths have been realised in controlled environments like atoms in harmonic traps [17][18][19][20][21][22] , where the small number of excited states mimic magnetic impu-rities and the atoms in the ground state provide the bath. In experiments where Rashba type spin-obit coupling is generated synthetically, induced artificial magnetic fields break parity and time reversal symmetries.…”

Section: Introductionmentioning

confidence: 99%

Kondo effect in a non-Hermitian, $\mathcal{PT}$-symmetric Anderson model with Rashba spin-orbit coupling

Kulkarni,

Gupta,

Vidhyadhiraja

2022

Preprint

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Section: Introductionmentioning

confidence: 99%

Kondo effect in a non-Hermitian, $\mathcal{PT}$-symmetric Anderson model with Rashba spin-orbit coupling

Kulkarni,

Gupta,

Vidhyadhiraja

2022

Preprint

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“…In quantum chromodynamics, nuclear interactions are represented by SU(3) symmetry 3 , 4 . In the past decades, developments in cooling and trapping of alkaline-earth-like fermions 5 have opened possibilities to achieve even higher spin symmetries, owing to their distinctive inter-particle interactions, and thus provided ideal platforms to study various SU( N ) fermionic systems 1 , 6 , 7 . Although the role of SU( N ) symmetry has been probed in optical lattices 8 – 15 , the comprehensive characterization of interacting SU( N ) fermions in bulk, wherein the SU( N ) Fermi liquid description is valid, has still remained challenging 16 – 19 .…”

Section: Introductionmentioning

confidence: 99%

Heuristic machinery for thermodynamic studies of SU(N) fermions with neural networks

Zhao

Lee

et al. 2021

Nat Commun

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The power of machine learning (ML) provides the possibility of analyzing experimental measurements with a high sensitivity. However, it still remains challenging to probe the subtle effects directly related to physical observables and to understand physics behind from ordinary experimental data using ML. Here, we introduce a heuristic machinery by using machine learning analysis. We use our machinery to guide the thermodynamic studies in the density profile of ultracold fermions interacting within SU(N) spin symmetry prepared in a quantum simulator. Although such spin symmetry should manifest itself in a many-body wavefunction, it is elusive how the momentum distribution of fermions, the most ordinary measurement, reveals the effect of spin symmetry. Using a fully trained convolutional neural network (NN) with a remarkably high accuracy of ~94% for detection of the spin multiplicity, we investigate how the accuracy depends on various less-pronounced effects with filtered experimental images. Guided by our machinery, we directly measure a thermodynamic compressibility from density fluctuations within the single image. Our machine learning framework shows a potential to validate theoretical descriptions of SU(N) Fermi liquids, and to identify less-pronounced effects even for highly complex quantum matter with minimal prior understanding.

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“…As a result, there are nuclear-spin exchange interactions between these two atoms, with the intensity being proportional to (a − − a + ) in the zero-range limit [13,16,17,19,22]. Thus, the mixture of ultracold atoms in 1 S 0 and 3 P 0 states is a promising candidate for the quantum simulation of many-body physics induced by spin-exchange interaction (e.g., the Kondo physics), and has attracted much attention [6,7,9,17,22,[27][28][29][30][31]. Furthermore, the precise values of a ± are required as basic parameters for the study of this quantum simulation.…”

Section: Introductionmentioning

confidence: 99%

Universal energy-dependent pseudopotential for the two-body problem of confined ultracold atoms

Xiao,

Zhang,

Zhang

2021

Preprint

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The two-body scattering amplitude and energy spectrum of confined ultracold atoms are of fundamental importance for both theoretical and experimental studies of ultracold atom physics. For many systems, one can efficiently calculate these quantities via the zero-range Huang-Yang pseudopotential (HYP), in which the interatomic interaction is characterized by the scattering length a. Furthermore, when the scattering length is dependent on the kinetic energy εr of two-atom relative motion, i.e., a = a(εr), the results are applicable for a broad energy region. However, when the free Hamiltonian of atomic internal state (e.g., the Zeeman Hamiltonian) does not commute with the inter-atomic interaction, or the center-of-mass (CoM) motion is coupled to the relative motion, the generalization of this technique is still lacking. In this work we solve this problem and construct a reasonable energy-dependent multi-channel HYP, which is characterized by a "scattering length operator" âeff , for the above complicated cases. Here âeff is an operator for atomic internal states and CoM motion, and depends on both the total two-atom energy and the external field as well as the trapping parameter. The effects from the internal-state or CoM-relative motion coupling can be self-consistently taken into account by âeff . We further show a method based on the quantum defect theory, with which âeff can be analytically derived for systems with van der Waals inter-atomic interaction. To demonstrate our method, we calculate the spectrum of two ultracold fermionic alkaline-earth-like atoms (in electronic 1 S0 (|g ) and 3 P0 (|e ) states, respectively) confined in an optical lattice. By comparing our results with the recent experimental measurements for two 173 Yb atoms and two 171 Yb atoms, we calibrate the scattering lengths a± with respect to anti-symmetric and symmetric nuclear-spin states to be a+ = 2012(19)a0 and a− = 193(4)a0 for 173 Yb, and a+ = 232(3)a0 and a− = 372(1)a0 for 171 Yb.

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Controlling the interaction of ultracold alkaline-earth atoms

Cited by 37 publications

References 117 publications

Kondo effect in a non-Hermitian, $\mathcal{PT}$-symmetric Anderson model with Rashba spin-orbit coupling

Kondo effect in a non-Hermitian, $\mathcal{PT}$-symmetric Anderson model with Rashba spin-orbit coupling

Heuristic machinery for thermodynamic studies of SU(N) fermions with neural networks

Universal energy-dependent pseudopotential for the two-body problem of confined ultracold atoms

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