Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators

Gorlach, Maxim A.; Liberto, Marco Di; Recati, Alessio; Carusotto, Iacopo; Poddubny, Alexander N.; Menotti, C.

doi:10.1103/physreva.98.063625

Cited by 20 publications

(15 citation statements)

References 70 publications

(73 reference statements)

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“…By mapping the subspaces of lowest-energy two-boson states into single-particle models, we show that the system has a topologically nontrivial phase. In contrast with other realizations of two-body topological states [13,[29][30][31][32][33][34][35][36][37][38][39][40][41], in this case the topological character is controlled through effective two-boson tunneling amplitudes that depend on the interaction strength. In a diamond chain with open boundaries, this topological phase is benchmarked by the presence of robust in-gap states localized at the edges, which are in turn composed of bound pairs of bosons, each occupying a localized single-particle eigenstate.…”

Section: Introductionmentioning

confidence: 86%

“…These two-body states, which are stable even for repulsive interactions due to the finite bandwidth of the singleparticle kinetic energy [9], have been observed [10][11][12][13] and extensively analyzed [14][15][16][17][18][19][20][21][22][23][24][25] in optical lattices, and have also been emulated in photonic systems [26,27] and in topolectrical circuits [28]. Motivated in part by these advances, several recent works have focused on the topological properties of two-body states [13,[29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], with the long-term aim of paving the path to a better comprehension of topological phases in a full many-body interacting scenario. A distinctive advantage that these small-sized systems offer is that it is often possible to map the problem of two interacting particles in a lattice into a single-particle model defined in a different lattice, the topological characterization of which can then be performed with well-established techniques [31][32][33]36,40,…”

Section: Introductionmentioning

confidence: 99%

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Interaction-induced topological properties of two bosons in flat-band systems

Pelegrí

Marques

Ahufinger

et al. 2020

Phys. Rev. Research

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In flat-band systems, destructive interference leads to the localization of noninteracting particles and forbids their motion through the lattice. However, in the presence of interactions the overlap between neighboring single-particle localized eigenstates may enable the propagation of bound pairs of particles. In this work, we show how these interaction-induced hoppings can be tuned to obtain a variety of two-body topological states. In particular, we consider two interacting bosons loaded into the orbital angular momentum l = 1 states of a diamond-chain lattice, wherein an effective π flux may yield a completely flat single-particle energy landscape. In the weakly interacting limit, we derive effective single-particle models for the two-boson quasiparticles which provide an intuitive picture of how the topological states arise. By means of exact diagonalization calculations, we benchmark these states and we show that they are also present for strong interactions and away from the strict flat-band limit. Furthermore, we identify a set of doubly localized two-boson flat-band states that give rise to a special instance of Aharonov-Bohm cages for arbitrary interactions.

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Section: Introductionmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Interaction-induced topological properties of two bosons in flat-band systems

Pelegrí

Marques

Ahufinger

et al. 2020

Phys. Rev. Research

View full text Add to dashboard Cite

show abstract

“…In this case, it might be useful to explore the quantum tomography approach proposed in ref. 69 . This system is readily solved numerically after the wavefunction ψ is rewritten in the basis of N(N − 1)/2 localized states of the type ½ e ψ mn ¼ ½ e ψ nm ¼ 1 ffiffi ffi 2 p ; n ≠ m:…”

Section: Analytical Model For Polariton-polariton Interactionsmentioning

confidence: 99%

Quantum Hall phases emerging from atom–photon interactions

Poshakinskiy

Zhong

et al. 2021

npj Quantum Inf

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We reveal the emergence of quantum Hall phases, topological edge states, spectral Landau levels, and Hofstadter butterfly spectra in the two-particle Hilbert space of an array of periodically spaced two-level atoms coupled to a waveguide (waveguide quantum electrodynamics). While the topological edge states of photons require fine-tuned spatial or temporal modulations of the parameters to generate synthetic magnetic fields and the quantum Hall effect, here we demonstrate that a synthetic magnetic field can be self-induced solely by atom–photon interactions. The fact that topological order can be self-induced in what is arguably the simplest possible quantum structure shows the richness of these waveguide quantum electrodynamics systems. We believe that our findings will advance several research disciplines including quantum optics, many-body physics, and nonlinear topological photonics, and that it will set an important reference point for the future experiments on qubit arrays and quantum simulators.

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“…Concurrently, on the theory front several ideas have been suggested to investigate topological two-photon effects in linear 14 , 15 and nonlinear 16 lattice systems. In this regard, an intriguing proposition was recently put forward 17 , where the Bose-Hubbard model, which is topologically trivial for single particles, becomes topologically nontrivial for two interacting photons.…”

Section: Introductionmentioning

confidence: 99%

Topological protection versus degree of entanglement of two-photon light in photonic topological insulators

Tschernig

Jiménez-Galán²,

Christodoulides

et al. 2021

Nat Commun

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Topological insulators combine insulating properties in the bulk with scattering-free transport along edges, supporting dissipationless unidirectional energy and information flow even in the presence of defects and disorder. The feasibility of engineering quantum Hamiltonians with photonic tools, combined with the availability of entangled photons, raises the intriguing possibility of employing topologically protected entangled states in optical quantum computing and information processing. However, while two-photon states built as a product of two topologically protected single-photon states inherit full protection from their single-photon “parents”, a high degree of non-separability may lead to rapid deterioration of the two-photon states after propagation through disorder. In this work, we identify physical mechanisms which contribute to the vulnerability of entangled states in topological photonic lattices. Further, we show that in order to maximize entanglement without sacrificing topological protection, the joint spectral correlation map of two-photon states must fit inside a well-defined topological window of protection.

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Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators

Cited by 20 publications

References 70 publications

Interaction-induced topological properties of two bosons in flat-band systems

Interaction-induced topological properties of two bosons in flat-band systems

Quantum Hall phases emerging from atom–photon interactions

Topological protection versus degree of entanglement of two-photon light in photonic topological insulators

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