Coherent perfect absorption of nonlinear matter waves

Müllers, A.; Santra, B.; Baals, Christian; Jiang, Jian; Benary, Jens; Labouvie, Ralf; Zezyulin, Dmitry A.; Konotop, V. V.; Ott, Herwig

doi:10.1126/sciadv.aat6539

Cited by 91 publications

(71 citation statements)

References 35 publications

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“…The exact SS-solution ψ 0 (x) of (59) can be found in the same form as in equation (13), with the simple shift of the nonlinear eigenvalue: s r = + k k 2 0 2 2 | | . Since the found nonlinear solution features purely outgoing or purely incoming (depending on the sign of k 0 ) wave boundary conditions, it paves the way towards the implementation of a CPA for nonlinear waves which was experimentally implemented in a Bose-Einstein condensate [49] and theoretically predicted for arrays of optical waveguides [50].…”

Section: Discussionmentioning

confidence: 87%

A universal form of localized complex potentials with spectral singularities

Zezyulin

2020

New J. Phys.

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We establish necessary and sufficient conditions for localized complex potentials in the Schrödinger equation to enable spectral singularities (SSs) and show that such potentials have the universal form( ) k 0  , and k 0 is a non-zero real. We also find that when k 0 is a complex number, then the eigenvalue of the corresponding Shrödinger operator has an exact solution which, depending on k 0 , represents a coherent perfect absorber (CPA), laser, a localized bound state, a quasi bound state in the continuum (a quasi-BIC), or an exceptional point (the latter requiring additional conditions). Thus, k 0 is a bifurcation parameter that describes transformations among all those solutions. Additionally, in a more specific case of a real-valued function w(x) the resulting potential, although not being  symmetric, can feature a self-dual SS associated with the CPA-laser operation. At this moment, the complex potential has exactly two coexisting SSs at different points of the continuous spectrum. In the space of the system parameters, the transition through each self-dual SS corresponds to a bifurcation of a pair of complex-conjugate propagation constants from the continuum. The bifurcation of a first complex-conjugate pair corresponds to the phase transition from purely real to complex spectrum.

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Section: Discussionmentioning

confidence: 87%

A universal form of localized complex potentials with spectral singularities

Zezyulin

2020

New J. Phys.

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“…For fermions, this sudden quenched protocol has been studied in [15] in the lattice realization and in [16,17] in the continuous setting. For bosons, the problem of localized losses has been investigated both theoretically [18][19][20][21][22][23] and experimentally [24,25], and it is dual to the problem we consider here as instead of a sink we consider a source. For fermions there is essentially no difference between a source and a sink because a particle sink is the same as a source of holes.…”

Section: Introductionmentioning

confidence: 99%

Free fermions with a localized source

2019

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We analyze the time evolution of an open quantum system driven by a localized source of bosons. We consider non-interacting identical bosons that are injected into a single lattice site and and perform a continuous time quantum walks on a lattice. We show that the average number of bosons grows exponentially with time when the input rate exceeds a certain lattice-dependent critical value. Below the threshold, the growth is quadratic in time, which is still much faster than the naive linear in time growth. We compute the critical input rate for hyper-cubic lattices and find that it is positive in all dimensions d except for d = 2 where the critical input rate vanishes-the growth is always exponential in two dimensions. To understand the exponential growth, we construct an explicit microscopic Hamiltonian model which gives rise to the open system dynamics once the bath is traced out. Exponential growth is identified with a region of dynamic instability of the Hamiltonian system.

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“…Following [7], CPA conditions can be derived via the transfer matrix M . CPA occurs when there exist non-zero incoming radiations a L and b R , but the outgoing radiations a R and b L are zero.…”

Section: Transfer Matrix Methodsmentioning

confidence: 99%

“…[21] -as well as their time behavior (exponential growth, decay or being constant) can be controlled by tuning the dissipation parameters, in analogy with what we herewith reported. Moreover, following [6,7], we ob-serve that the absorption conditions in Eq. (5,9,11) can be reversed into lasing conditions by permuting the sign of the prefactor iγ/2 of the dissipative terms V in Eq.…”

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confidence: 99%

Casting dissipative compact states in coherent perfect absorbers

Danieli

Mithun

2020

Phys. Rev. Research

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Coherent perfect absorption (CPA), also known as time-reversed laser, is a wave phenomenon resulting from the reciprocity of destructive interference of transmitted and reflected waves. In this work we consider quasi one-dimensional lattice networks which posses at least one flat band, and show that CPA and lasing can be induced in both linear and nonlinear regimes of this lattice by fine-tuning non-Hermitian defects (dissipative terms localized within one unit-cell). We show that local dissipations that yield CPA simultaneously yield novel dissipative compact solutions of the lattice, whose growth or decay in time can be fine-tuned via the dissipation parameter. The scheme used to numerically visualize the theoretical findings offers a novel platform for the experimental implementation of these phenomena in optical devices.

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Coherent perfect absorption of nonlinear matter waves

Abstract: Eliminating atoms of a Bose-Einstein condensate in a lattice from one cell is coherent perfect absorption of the quantum liquid.

Cited by 91 publications

References 35 publications

A universal form of localized complex potentials with spectral singularities

A universal form of localized complex potentials with spectral singularities

Free fermions with a localized source

Casting dissipative compact states in coherent perfect absorbers

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