Ising model in a light-induced quantized transverse field

Rohn, Joachim; Hörmann, Max; Genes, Claudiu; Schmidt, K. P.

doi:10.1103/physrevresearch.2.023131

Cited by 17 publications

(9 citation statements)

References 52 publications

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“…In particular, while detailed analytical and numerical computations have already been performed for single molecules in cavities [16][17][18][19][20] or small circuit QED systems [21][22][23][24], equivalent calculations are no longer feasible for real materials, strongly correlated electronic systems or larger superconducting devices. The analysis of such systems has thus been constrained to idealized collective-spin models [2,[25][26][27][28][29][30] or to moderate coupling regimes (α < 1) [31][32][33][34][35][36][37][38][39][40][41], where in realistic models no significant modifications of ground and thermal states are expected yet [2,16,[43][44][45][46][47]. Consequently, still little is known about few-and many-body effects that arise from the direct competition between short-range electrostatic interactions and a non-perturbative coupling to an extended dynamical mode.…”

Section: Obd Simulations 14 E Histograms Of the Three-sublattice Ormentioning

confidence: 99%

The vacua of dipolar cavity quantum electrodynamics

et al. 2020

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The structure of solids and their phases is mainly determined by static Coulomb forces while the coupling of charges to the dynamical, i.e., quantized degrees of freedom of the electromagnetic field plays only a secondary role. Recently, it has been speculated that this general rule can be overcome in the context of cavity quantum electrodynamics (QED), where the coupling of dipoles to a single field mode can be dramatically enhanced. Here we present a first exact analysis of the ground states of a dipolar cavity QED system in the non-perturbative coupling regime, where electrostatic and dynamical interactions play an equally important role. Specifically, we show how strong and long-range vacuum fluctuations modify the states of dipolar matter and induce novel phases with unusual properties. Beyond a purely fundamental interest, these general mechanisms can be important for potential applications, ranging from cavity-assisted chemistry to quantum technologies based on ultrastrongly coupled circuit QED systems.

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Section: Obd Simulations 14 E Histograms Of the Three-sublattice Ormentioning

confidence: 99%

The vacua of dipolar cavity quantum electrodynamics

et al. 2020

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“…First theoretical studies have unveiled the tantalizing possibility of cavity-enhanced ferroelectrics [28] and excitonic condensates [29,30], extending the debate on equilibrium superradiant transition to condensed matter systems [30][31][32][33]. The hybrid light-matter phases can also feature distinct magnetic order [34][35][36][37] and superconducting pairing mechanisms [38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Effective theory of lattice electrons strongly coupled to quantum electromagnetic fields

Eckstein

2022

Phys. Rev. B

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Recent experiments have revealed the tantalizing possibility of fabricating lattice electronic systems strongly coupled to quantum fluctuations of electromagnetic fields, e.g., by means of geometry confinement from a cavity or artificial gauge fields in quantum simulators. In this work, we develop a high-frequency expansion to construct the effective models for lattice electrons strongly coupled to a continuum of off-resonant photon modes with arbitrary dispersion. The theory is nonperturbative in the light-matter coupling strength and is therefore particularly suitable for the ultrastrong light-matter coupling regime. Using the effective models, we demonstrate how the dispersion and topology of the electronic energy bands can be tuned by the cavity. In particular, quasi-one-dimensional physics can emerge in a two-dimensional square lattice due to a spatially anisotropic band renormalization, and a topologically nontrivial anomalous quantum Hall state can be induced in a honeycomb lattice when the cavity setup breaks time-reversal symmetry. We also demonstrate that the photon-mediated interaction induces an unconventional superconducting paired phase distinct from the pair-density-wave state discussed in models with truncated light-matter coupling. Finally, we study a realistic setup of a Fabry-Pérot cavity. Our work provides a systematic framework to explore the emergent phenomena due to strong light-matter coupling and points out alternative directions of engineering orders and topological states in solids.

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“…From this exact solution, we study then the behaviour of the model at both zero and finite temperature, and find a number of interesting features. We note that this kind of allto-all interactions arises in different contexts, such as particle-number-conserving models of superconductivity [14], power-law interactions with exponent smaller than 1 [8,15,16], or in models of quantum optics at zero temperature [17]. We find that at zero temperature, the all-to-all interactions displace the critical value of the magnetic field, and marginally corrects the critical behaviour of observables.…”

Section: Introductionmentioning

confidence: 70%

“…It was shown in [17] that the ground state energy density of the Dick-Ising model is the same as the ground state of H(h, λ) for…”

Section: Dicke-ising Modelmentioning

confidence: 99%

Exact mean-field solution of a spin chain with short-range and long-range interactions

Granet¹

2022

Preprint

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We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range interactions. This is established by looking for eigenstates as coherent states with an amplitude that varies through the Hilbert space. We study then the thermodynamics of the model and identify the different phases. Among its peculiar features, this 1D model possesses a second-order phase transition at finite temperature and exhibits inverse melting.

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Ising model in a light-induced quantized transverse field

Cited by 17 publications

References 52 publications

The vacua of dipolar cavity quantum electrodynamics

The vacua of dipolar cavity quantum electrodynamics

Effective theory of lattice electrons strongly coupled to quantum electromagnetic fields

Exact mean-field solution of a spin chain with short-range and long-range interactions

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