Mapping repulsive to attractive interaction in driven–dissipative quantum systems

Li, Andy; Koch, Jens

doi:10.1088/1367-2630/aa8d5b

Cited by 7 publications

(10 citation statements)

References 46 publications

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“…We note that this symmetry applies not just to the DDBHM, but to any model described by the Lindblad master equation where the dissipation operators are invariant under complex conjugation. This is discussed and demonstrated further in 16 , an independent work whose findings overlap with the ones presented here.…”

Section: Modelsupporting

confidence: 87%

“…To test the arguments set forth above, we perform numerical investigations on a DDBHM trimer system (see ref. 16 for results with a uniform dimer system). We first test the boson number symmetry when the parameters are uniform across the trimer.…”

Section: Resultsmentioning

confidence: 99%

“…This is important for experimental tests, where at least some disorder is inevitable, and complements the numerical tests in ref. 16 , which considers only uniform systems. As before, and respectively denote the upper and lower sign choices of the parameters.…”

Section: Resultsmentioning

confidence: 99%

“…We note that a dimer system is a special case, where the sign of J also need not change (see ref. 16 ).…”

Section: Modelmentioning

confidence: 99%

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Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems

Gangat

McCulloch

Kao

2018

Sci Rep

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The driven-dissipative Bose-Hubbard model can be experimentally realized with either negative or positive onsite detunings, inter-site hopping energies, and onsite interaction energies. Here we use one-dimensional matrix product density operators to perform a fully quantum investigation of the dependence of the non-equilibrium steady states of this model on the signs of these parameters. Due to a symmetry in the Lindblad master equation, we find that simultaneously changing the sign of the interaction energies, hopping energies, and chemical potentials leaves the local boson number distribution and inter-site number correlations invariant, and the steady-state complex conjugated. This shows that all driven-dissipative phenomena of interacting bosons described by the Lindblad master equation, such as “fermionization” and “superbunching”, can equivalently occur with attractive or repulsive interactions.

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Section: Modelsupporting

confidence: 87%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…We note that a dimer system is a special case, where the sign of J also need not change (see ref. 16 ).…”

Section: Modelmentioning

confidence: 99%

See 2 more Smart Citations

Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems

Gangat

McCulloch

Kao

2018

Sci Rep

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show abstract

“…This duality, discussed in [20] arises because a combination of g → −g and a π rotation of the spin on every second site leads to H → −H. (A more general discussion of such dualities can be found in [59].) This duality means that on changing the sign of g, the state of the system should correspond to reversing the sign of all energies.…”

Section: Fermionic or Bosonic (Anti-)commutation Relations; Formentioning

confidence: 99%

Fluorescence Spectrum and Thermalization in a Driven Coupled Cavity Array

Kilda

Keeling

2019

Phys. Rev. Lett.

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We calculate the fluorescence spectra of a driven lattice of coupled cavities. To do this, we extend methods of evaluating two-time correlations in infinite lattices to open quantum systems; this allows access to momentum resolved fluorescence spectrum. We illustrate this for a drivendissipative transverse field anisotropic XY model. By studying the fluctuation dissipation theorem, we find the emergence of a quasi-thermalized steady state with a temperature dependent on system parameters; for blue detuned driving, we show this effective temperature is negative. In the low excitation density limit, we compare these numerical results to analytical spin-wave theory, providing an understanding of the form of the distribution function and the origin of quasi-thermalization. regime, with a two-photon pump that creates pairs of photons in adjacent sites (see Fig. 6). J κ J J J

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Large-scale Ising emulation with four body interaction and all-to-all connections

2020

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Optical Ising machines with two-body interactions have shown potential in solving combinatorial optimization problems which are extremely hard to solve with digital computers. Yet, some physical systems cannot be properly described by only two-body interactions. Here, we propose and demonstrate a nonlinear optics approach to emulate Ising machines containing many spins (up to a million in the absence of optical imperfections) and with tailored all-to-all two and four-body interactions. Our approach employs a spatial light modulator to encode and control the spins in the form of the binary-phase values, and emulates the high-order interaction with frequency conversion in a nonlinear crystal. By implementing adaptive feedback, the system can be evolved into effective spin configurations that well-approximate the ground-states of Ising Hamiltonians with all-to-all connected many-body interactions. Our technique could serve as a tool to probe complex, many-body physics and give rise to exciting applications in big-data optimization, computing, and analytics.

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Mapping repulsive to attractive interaction in driven–dissipative quantum systems

Cited by 7 publications

References 46 publications

Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems

Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems

Fluorescence Spectrum and Thermalization in a Driven Coupled Cavity Array

Large-scale Ising emulation with four body interaction and all-to-all connections

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