Non-Hermitian Kondo Effect in Ultracold Alkaline-Earth Atoms

Nakagawa, Masaya; Kawakami, Norio; Ueda, Masahito

doi:10.1103/physrevlett.121.203001

Cited by 157 publications

(115 citation statements)

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“…where H is the Hamiltonian, L µ 's are the Lindblad dissipators describing quantum jumps due to coupling to the environment, and L is called the Liouvillian superoperator. Before the occurrence of a jump, the shorttime evolution follows the effective non-Hermitian Hamiltonian H eff = H − i µ L † µ L µ as dρ/dt = −i(H eff ρ − ρH † eff ) [11,12,103]. It is generally believed that when the system size is not too small, the effect of boundary condition is insignificant.…”

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confidence: 99%

Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems

2019

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One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely that the eigenstates are exponentially localized at the boundary of the system. For open quantum systems, a short-time evolution can often be well described by the effective non-Hermitian Hamiltonians, while long-time dynamics calls for the Lindblad master equations, in which the Liouvillian superoperators generate time evolution. In this Letter, we find that Liouvillian superoperators can exhibit the non-Hermitian skin effect, and uncover its unexpected physical consequences. It is shown that the non-Hermitian skin effect dramatically shapes the long-time dynamics, such that the damping in a class of open quantum systems is algebraic under periodic boundary condition but exponential under open boundary condition. Moreover, the non-Hermitian skin effect and non-Bloch bands cause a chiral damping with a sharp wavefront. These phenomena are beyond the effective non-Hermitian Hamiltonians; instead, they belong to the non-Hermitian physics of full-fledged open quantum dynamics.Model.-The system is illustrated in Fig.1(a). Our Hamiltonian H = ij h ij c † i c j , where c † i , c i are fermion creation and annihilation operators at site i (including

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confidence: 99%

Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems

2019

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“…Here e x(y) denotes the unit vector for each direction, and the lattice constant is set to unity. When we focus on the short-time evolution, the last term describing the quantum-jump is negligible [61][62][63][64]. In this case, we can see that the timeevolution is described by…”

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confidence: 99%

Non-Hermitian fractional quantum Hall states

Yoshida

Kudo

Hatsugai

2019

Sci Rep

108

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We demonstrate the emergence of a topological ordered phase for non-Hermitian systems. Specifically, we elucidate that systems with non-Hermitian two-body interactions show a fractional quantum Hall (FQH) state. The non-Hermitian Hamiltonian is considered to be relevant to cold atoms with dissipation. We conclude the emergence of the non-Hermitian FQH state by the presence of the topological degeneracy and by the many-body Chern number for the ground state multiplet showing Ctot = 1. The robust topological degeneracy against non-Hermiticity arises from the manybody translational symmetry. Furthermore, we discover that the FQH state emerges without any repulsive interactions, which is attributed to a phenomenon reminiscent of the continuous quantum Zeno effect.

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“…Finally, it is well known that ultracold atom systems are good for study non-equilibrium dynamics such as quench dynamics because the parameters can be changed in a time scale much faster than many-body equilibrium time. One can take this advantage to study non-equilibrium dynamics related to the Kondo physics [101,102], for instance, by suddenly quench the spin-exchanging interaction from ferromagnetic to the anti-ferromagnetic regime, one can study the dynamical formation of the Kondo screening.…”

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confidence: 99%

Controlling the interaction of ultracold alkaline-earth atoms

et al. 2020

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Ultracold alkaline-earth atoms have now been widely explored for precision measurements and quantum simulation. Because of its unique atomic structure, alkaline earth atoms possess great advantages for quantum simulation and studying quantum many-body matters, such as simulating synthetic gauge field, Kondo physics and SU (N ) physics. To fully explore the potential of ultracold alkaline-earth atoms, these systems also need to be equipped with the capability of tuning the interatomic interaction to the strongly interacting regime. Recently several theoretical proposals and experimental demonstrations have shown that both spin-independent and spin-exchanging interaction can be tuned to resonance. In this perspective, we will review these progress and discuss the new opportunities brought by these interaction control tools for future quantum simulation studies with ultracold alkaline-earth atoms. arXiv:1908.04973v1 [cond-mat.quant-gas]

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Non-Hermitian Kondo Effect in Ultracold Alkaline-Earth Atoms

Cited by 157 publications

References 66 publications

Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems

Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems

Non-Hermitian fractional quantum Hall states

Controlling the interaction of ultracold alkaline-earth atoms

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