|
|
Asymmetric conductivity of the Kondo effect in cold atomic systems |
Yanting Cheng1, Xin Chen1, Ren Zhang2() |
1. Institute for Advanced Study, Tsinghua University, Beijing 100084, China 2. School of Science, Xi’an Jiaotong University, Xi’an 710049, China |
|
|
Abstract Motivated by recent theoretical and experimental advances in quantum simulations using alkaline earth (AE) atoms, we put forward a proposal to detect the Kondo physics in a cold atomic system. It has been demonstrated that the intrinsic spin-exchange interaction in AE atoms can be significantly enhanced near a confinement-induced resonance (CIR), which facilitates the simulation of Kondo physics. Since the Kondo effect appears only for antiferromagnetic coupling, we find that the conductivity of such system exhibits an asymmetry across a resonance of spin-exchange interaction. The asymmetric conductivity can serve as the smoking gun evidence for Kondo physics in the cold atom context. When an extra magnetic field ramps up, the spin-exchange process near Fermi surface is suppressed by Zeeman energy and the conductivity becomes more and more symmetric. Our results can be verified in the current experimental setup.
|
Keywords
Kondo effect
alkaline earth atom
confinement induced resonance
|
Corresponding Author(s):
Ren Zhang
|
Issue Date: 03 August 2021
|
|
1 |
I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys. 80(3), 885 (2008)
https://doi.org/10.1103/RevModPhys.80.885
|
2 |
N. Goldman, J. C. Budich, and P. Zoller, Topological quantum matter with ultracold gases in optical lattices, Nat. Phys. 12, 639 (2016)
https://doi.org/10.1038/nphys3803
|
3 |
C. Gross and I. Bloch, Quantum simulations with ultracold atoms in optical lattices, Science 357(6355), 995 (2017)
https://doi.org/10.1126/science.aal3837
|
4 |
B. Paredes, C. Tejedor, and J. I. Cirac, Fermionic atoms in optical superlattices, Phys. Rev. A 71(6), 063608 (2005)
https://doi.org/10.1103/PhysRevA.71.063608
|
5 |
J. Silva-Valencia and A. M. C. Souza, Superfluid-to-Mott insulator transition of bosons with local three-body inter-actions, Eur. Phys. J. B 85(5), 161 (2012)
https://doi.org/10.1140/epjb/e2012-20966-8
|
6 |
D. Yu, J. S. Pan, X. J. Liu, W. Zhang, and W. Yi, Topological superradiant state in Fermi gases with cavity induced spin–orbit coupling, Front. Phys. 13(1), 136701 (2018)
https://doi.org/10.1007/s11467-017-0695-5
|
7 |
C. A. Regal, M. Greiner, and D. S. Jin, Observation of resonance condensation of fermionic atom pairs, Phys. Rev. Lett. 92(4), 040403 (2004)
https://doi.org/10.1103/PhysRevLett.92.040403
|
8 |
M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Condensation of pairs of fermionic atoms near a Feshbach resonance, Phys. Rev. Lett. 92(12), 120403 (2004)
https://doi.org/10.1103/PhysRevLett.92.120403
|
9 |
J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turlapov, and J. E. Thomas, Evidence for superfluidity in a resonantly interacting Fermi gas, Phys. Rev. Lett. 92(15), 150402 (2004)
https://doi.org/10.1103/PhysRevLett.92.150402
|
10 |
T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkel-mans, and C. Salomon, Experimental study of the BECBCS crossover region in 6Li, Phys. Rev. Lett. 93(5), 050401 (2004)
https://doi.org/10.1103/PhysRevLett.93.050401
|
11 |
C. Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, J. H. Denschlag, and R. Grimm, Observation of the pairing gap in a strongly interacting Fermi gas, Science 305(5687), 1128 (2004)
https://doi.org/10.1126/science.1100818
|
12 |
G. B. Partridge, K. E. Strecker, R. I. Kamar, M. W. Jack, and R. G. Hulet, Molecular probe of pairing in the BECBCS crossover, Phys. Rev. Lett. 95(2), 020404 (2005)
https://doi.org/10.1103/PhysRevLett.95.020404
|
13 |
M. W. Zwierlein, J. R. Abo-Shaeer, A. Schirotzek, C. H. Schunck, and W. Ketterle, Vortices and superfluidity in a strongly interacting Fermi gas, Nature 435, 1047 (2005)
https://doi.org/10.1038/nature03858
|
14 |
G. M. Falco, R. A. Duine, and H. T. C. Stoof, Molecular Kondo resonance in atomic Fermi gases, Phys. Rev. Lett. 92(14), 140402 (2004)
https://doi.org/10.1103/PhysRevLett.92.140402
|
15 |
A. V. Gorshkov, M. Hermele, V. Gurarie, C. Xu, P. S. Julienne, J. Ye, P. Zoller, E. Demler, M. D. Lukin, and A. M. Rey, Two-orbital SU(N)magnetism with ultracold alkaline-earth atoms, Nat. Phys. 6(4), 289 (2010)
https://doi.org/10.1038/nphys1535
|
16 |
M. Foss-Feig, M. Hermele, and A. M. Rey, Probing the Kondo lattice model with alkaline-earth-metal atoms, Phys. Rev. A 81(5), 051603 (2010)
https://doi.org/10.1103/PhysRevA.81.051603
|
17 |
J. Bauer, C. Salomon, and E. Demler, Realizing a Kondocorrelated state with ultracold atoms, Phys. Rev. Lett. 111(21), 215304 (2013)
https://doi.org/10.1103/PhysRevLett.111.215304
|
18 |
Y. Nishida, SU(3) orbital Kondo effect with ultracold atoms, Phys. Rev. Lett. 111(13), 135301 (2013)
https://doi.org/10.1103/PhysRevLett.111.135301
|
19 |
L. Isaev and A. M. Rey, Heavy-fermion valence-bond liquids in ultracold atoms: Cooperation of the Kondo effect and geometric frustration, Phys. Rev. Lett. 115(16), 165302 (2015)
https://doi.org/10.1103/PhysRevLett.115.165302
|
20 |
I. Kuzmenko, T. Kuzmenko, Y. Avishai, and K. Kikoin, Model for overscreened Kondo effect in ultracold Fermi gas, Phys. Rev. B 91(16), 165131 (2015)
https://doi.org/10.1103/PhysRevB.91.165131
|
21 |
Y. Nishida, Transport measurement of the orbital Kondo effect with ultracold atoms, Phys. Rev. A 93(1), 011606 (2016)
https://doi.org/10.1103/PhysRevA.93.011606
|
22 |
R. Zhang, D. Zhang, Y. Cheng, W. Chen, P. Zhang, and H. Zhai, Kondo effect in alkaline-earth-metal atomic gases with confinement-induced resonances, Phys. Rev. A 93(4), 043601 (2016)
https://doi.org/10.1103/PhysRevA.93.043601
|
23 |
I. Kuzmenko, T. Kuzmenko, Y. Avishai, and G. B. Jo, Multipolar Kondo effect in a 1S0−3P2 mixture of 173Yb atoms, Phys. Rev. B 97(7), 075124 (2018)
https://doi.org/10.1103/PhysRevB.97.075124
|
24 |
Y. Cheng, R. Zhang, P. Zhang, and H. Zhai, Enhancing Kondo coupling in alkaline-earth-metal atomic gases with confinement-induced resonances in mixed dimensions, Phys. Rev. A 96(6), 063605 (2017)
https://doi.org/10.1103/PhysRevA.96.063605
|
25 |
J. Yao, H. Zhai, and R. Zhang, Efimov-enhanced Kondo effect in alkali-metal and alkaline-earth-metal atomic gas mixtures, Phys. Rev. A 99(1), 010701 (2019)
https://doi.org/10.1103/PhysRevA.99.010701
|
26 |
M. Nakagawa and N. Kawakami, Laser-induced Kondo effect in ultracold alkaline-earth fermions, Phys. Rev. Lett. 115(16), 165303 (2015)
https://doi.org/10.1103/PhysRevLett.115.165303
|
27 |
M. Nakagawa, N. Kawakami, and M. Ueda, NonHermitian Kondo effect in ultracold alkaline-earth atoms, Phys. Rev. Lett. 121(20), 203001 (2018)
https://doi.org/10.1103/PhysRevLett.121.203001
|
28 |
M. Kanász-Nagy, Y. Ashida, T. Shi, C. P. Moca, T. N. Ikeda, S. Fölling, J. I. Cirac, G. Zaránd, and E. A. Dem-ler, Exploring the anisotropic Kondo model in and out of equilibrium with alkaline-earth atoms, Phys. Rev. B 97, 155156 (2018)
https://doi.org/10.1103/PhysRevB.97.155156
|
29 |
Y. Zhong, Y. Liu, and H. G. Luo, Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential, Front. Phys. 12(5), 127502 (2017)
https://doi.org/10.1007/s11467-017-0690-x
|
30 |
P. W. Anderson, A poor man’s derivation of scaling laws for the Kondo problem, J. Phys. C 3(12), 2436 (1970)
https://doi.org/10.1088/0022-3719/3/12/008
|
31 |
J. Kondo, Resistance minimum in dilute magnetic alloys, Prog. Theor. Phys. 32(1), 37 (1964)
https://doi.org/10.1143/PTP.32.37
|
32 |
Z. W. Barber, J. E. Stalnaker, N. D. Lemke, N. Poli, C. W. Oates, T. M. Fortier, S. A. Diddams, L. Hollberg, C. W. Hoyt, A. V. Taichenachev, and V. I. Yudin, Optical lattice induced light shifts in an Yb atomic clock, Phys. Rev. Lett. 100(10), 103002 (2008)
https://doi.org/10.1103/PhysRevLett.100.103002
|
33 |
V. A. Dzuba and A. Derevianko, Dynamic polarizabilities and related properties of clock states of the ytterbium atom, J. Phys. At. Mol. Opt. Phys. 43(7), 074011 (2010)
https://doi.org/10.1088/0953-4075/43/7/074011
|
34 |
G. Cappellini, M. Mancini, G. Pagano, P. Lombardi, L. Livi, M. Siciliani de Cumis, P. Cancio, M. Pizzocaro, D. Calonico, F. Levi, C. Sias, J. Catani, M. Inguscio, and L. Fallani, Direct observation of coherent interorbital spin-exchange dynamics, Phys. Rev. Lett. 113(12), 120402 (2014)
https://doi.org/10.1103/PhysRevLett.113.120402
|
35 |
F. Scazza, C. Hofrichter, M. Höfer, P. C. De Groot, I. Bloch, and S. Fölling, Observation of two-orbital spinexchange interactions with ultracold SU(N)-symmetric fermions, Nat. Phys. 10(10), 779 (2014)
https://doi.org/10.1038/nphys3061
|
36 |
K. Ono, Y. Amano, T. Higomoto, Y. Saito, and Y. Taka-hashi, Observation of spin-exchange dynamics between itinerant and localized 171Yb atoms, Phys. Rev. A 103(4), L041303 (2021)
https://doi.org/10.1103/PhysRevA.103.L041303
|
37 |
K. Ono, J. Kobayashi, Y. Amano, K. Sato, and Y. Taka-hashi, Antiferromagnetic interorbital spin-exchange interaction of 171Yb, Phys. Rev. A 99(3), 032707 (2019)
https://doi.org/10.1103/PhysRevA.99.032707
|
38 |
L. Riegger, N. Darkwah Oppong,M. Höfer, D. R. Fernan-des, I. Bloch, and S. Fölling, Localized magnetic moments with tunable spin exchange in a gas of ultracold fermions, Phys. Rev. Lett. 120(14), 143601 (2018)
https://doi.org/10.1103/PhysRevLett.120.143601
|
39 |
R. Zhang and P. Zhang, Control of spin-exchange interaction between alkali-earth-metal atoms via confinementinduced resonances in a quasi-(1+0)-dimensional system, Phys. Rev. A 98(4), 043627 (2018)
https://doi.org/10.1103/PhysRevA.98.043627
|
40 |
R. Zhang, Y. Cheng, P. Zhang, and H. Zhai, Controlling the interaction of ultracold alkaline-earth atoms, Nat. Rev. Phys. 2(4), 213 (2020)
https://doi.org/10.1038/s42254-020-0157-9
|
41 |
S. Goto and I. Danshita, Quasiexact Kondo dynamics of fermionic alkaline-earth-like atoms at finite temperatures, Phys. Rev. Lett. 123(14), 143002 (2019)
https://doi.org/10.1103/PhysRevLett.123.143002
|
42 |
A. C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge Studies in Magnetism, Cambridge University Press, 1993
https://doi.org/10.1017/CBO9780511470752
|
43 |
M. V. Sadovskii, Diagrammatics: Lectures on Selected Problems in Condensed Matter Theory, edited by Michael V. Sadovskii, World Scientific, 2006
https://doi.org/10.1142/6011
|
44 |
A. Furusaki and N. Nagaosa, Kondo effect in a TomonagaLuttinger liquid, Phys. Rev. Lett. 72(6), 892 (1994)
https://doi.org/10.1103/PhysRevLett.72.892
|
45 |
Y. Ashida, T. Shi, M. C. Bañuls, J. I. Cirac, and E. Dem-ler, Solving quantum impurity problems in and out of equilibrium with the variational approach, Phys. Rev. Lett. 121(2), 026805 (2018)
https://doi.org/10.1103/PhysRevLett.121.026805
|
46 |
Y. Ashida, T. Shi, M. C. Bañuls, J. I. Cirac, and E. Dem-ler, Variational principle for quantum impurity systems in and out of equilibrium: Application to Kondo problems, Phys. Rev. B 98(2), 024103 (2018)
https://doi.org/10.1103/PhysRevB.98.024103
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|