Dynamic Signatures of Non-Hermitian Skin Effect and Topology in Ultracold Atoms

Liang, Qian; Xie, Dizhou; Dong, Zhaoli; Li, Haowei; Li, Hang; Gadway, Bryce; Wu, Yi; Yan, Bo

doi:10.1103/physrevlett.129.070401

Cited by 166 publications

(63 citation statements)

References 44 publications

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“…They can also be applied to other models, such as the Su-Schrieffer-Heeger (SSH) type model that has nonreciprocal hopping for every two nearestneighbor bonds, as we have verified in the Supplemental Material [84]. Our theory may be implemented, for instance, in open quantum dot [102][103][104][105], cold-atom [28,[48][49][50][106][107][108], and monitored quantum circuit systems [109,110].…”

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confidence: 93%

“…Non-Hermitian topological phases constitute one of the most recent active research fields in condensed matter, cold atom, and photonic physics . They have been experimentally realized in different platforms of high controllability [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. So far, most previous efforts have been devoted to single-particle physics, with no or only perturbative many-body interactions.…”

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confidence: 99%

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Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

et al. 2022

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We study the Hatano-Nelson model, i.e., a one-dimensional non-Hermitian chain of spinless fermions with nearest-neighbor nonreciprocal hopping, in the presence of repulsive nearest-neighbor interactions. At half filling, we find two PT transitions, as the interaction strength increases. The first transition is marked by an exceptional point between the first and the second excited state in a finite-size system and is a first-order symmetry-breaking transition into a charge-density wave regime. Persistent currents characteristic of the Hatano-Nelson model abruptly vanish at the transition. The second transition happens at a critical interaction strength that scales with the system size and can thus only be observed in finite-size systems. It is characterized by a collapse of all energy eigenvalues onto the real axis. We further show that in a strong interaction regime, but away from half filling, the many-body spectrum shows point gaps with nontrivial winding numbers, akin to the topological properties of the single-particle spectrum of the Hatano-Nelson chain, which indicates the skin effect of extensive many-body eigenstates under open boundary conditions. Our results can be applied to other models such as the non-Hermitian Su-Schrieffer-Heeger-type model and contribute to an understanding of fermionic many-body systems with non-Hermitian Hamiltonians.

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confidence: 93%

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confidence: 99%

Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

et al. 2022

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“…Containing only up to next-nearest neighbor hoppings, it is simple enough to realize in photonic systems given recent developments in the capability to control long range hoppings [57][58][59]. Mechanical and ultracold atomic systems also provide lee ways into implementing such systems [60,61]. But perhaps the most versatile means is mechanical or electrical systems where hoppings of arbitrary order can be generated with appropriate circuit configurations [35,62,63].…”

Section: Real Spectra Without Any Symmetrymentioning

confidence: 99%

Designing non-Hermitian real spectra through electrostatics

et al. 2022

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“…[ 52–55 ] In PT systems, non‐Hermiticity basically arises from a complex potential with balanced dissipative (lossy) and amplifying (gain) regions. More recently, a great interest has been devoted toward a different type of non‐Hermitian systems displaying the so‐called non‐Hermitian skin effect, [ 59–83 ] that is, a strong sensitivity of the energy spectrum on the boundary conditions and the condensation of a macroscopic number of bulk states at the lattice edges under open boundary conditions. [ 59–67 ] Such non‐Hermitian systems exhibit a rich and nontrivial band topology, [ 60,68,71,73,80 ] which emerges rather generally from nonreciprocal hopping amplitudes induced by synthetic imaginary gauge fields, [ 59,84–89 ] rather than from complex on‐site potentials.…”

Section: Introductionmentioning

confidence: 99%

“…Lattices with effective nonreciprocal hopping amplitudes have been demonstrated in different physical systems, such as in photonic systems, [ 76,81,82 ] topolectrical circuits, [ 78 ] mechanical systems, [ 77 ] and ultracold atoms. [ 83 ] In particular, the use of synthetic lattices in frequency domain [ 81 ] can realize rather arbitrary single‐band NH Hamiltonians with tailored nonreciprocal hopping displaying arbitrary topological winding numbers.…”

Section: Introductionmentioning

confidence: 99%

Non‐Hermitian Hartman Effect

Longhi

2022

Annalen der Physik

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The Hartman effect refers to the rather paradoxical result that the time spent by a quantum mechanical particle or a photon to tunnel through an opaque potential barrier becomes independent of barrier width for long barriers. Such an effect, which has been observed in different physical settings, raised a lively debate and some controversies, owing to the correct definition and interpretation of tunneling times and the apparent superluminal transmission. A rather open question is whether (and under which conditions) the Hartman effect persists for inelastic scattering, that is, when the potential becomes non-Hermitian and the scattering matrix is not unitary. Here, tunneling through a heterojunction barrier in the tight-binding picture is considered, where the barrier consists of a generally non-Hermitian finite-sized lattice attached to two semi-infinite nearest-neighbor Hermitian lattice leads. A simple and general condition is derived for the persistence of the Hartman effect in non-Hermitian barriers, showing that it can be found rather generally when non-Hermiticity arises from nonreciprocal couplings, that is, when the barrier displays the non-Hermitian skin effect, without any special symmetry in the system.

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Dynamic Signatures of Non-Hermitian Skin Effect and Topology in Ultracold Atoms

Cited by 166 publications

References 44 publications

Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

Designing non-Hermitian real spectra through electrostatics

Non‐Hermitian Hartman Effect

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