Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group

Jentsch, Patrick; Daviet, Romain; Dupuis, N.; Floerchinger, Stefan

doi:10.1103/physrevd.105.016028

Cited by 8 publications

(13 citation statements)

References 63 publications

(88 reference statements)

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“…provides a dual low-energy effective description of the massive Schwinger model [118,120,135], described by…”

Section: Overview Of the Model And Rydberg Implementationmentioning

confidence: 99%

“…To see this, we rescale the fields as κ φ → β φ, π/κ → ( /β)π and the Hamiltonian as Ĥ → (2χκ 2 /β 2 ) Ĥ. Here, we introduced a short-distance scale that sets a UV-cutoff Λ ∝ 1/ [135]. As a consequence, we find that the lattice regularization Ĥ(lat) SG approximates ĤSG upon identifying the atomic couplings with SG parameters according to…”

Section: Appendix C: Ponderomotive Couplingmentioning

confidence: 99%

“…where we used Λ = π [135]. We emphasize that a suitable choice of parameters thus in principle allows us to probe the whole non-trivial range of the theory with 0 < e/m < ∞.…”

Section: Appendix B: Decoherencementioning

confidence: 99%

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High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

Kruckenhauser¹,

Bijnen²,

Zache³

et al. 2022

Preprint

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We develop a toolbox for manipulating arrays of Rydberg atoms prepared in high-dimensional hydrogen-like manifolds in the regime of linear Stark and Zeeman effect. We exploit the SO(4) symmetry to characterize the action of static electric and magnetic fields as well as microwave and optical fields on the well-structured manifolds of states with principal quantum number n. This enables us to construct generalized large-spin Heisenberg models for which we develop state-preparation and readout schemes. Due to the available large internal Hilbert space, these models provide a natural framework for the quantum simulation of Quantum Field Theories, which we illustrate for the case of the sine-Gordon and massive Schwinger models. Moreover, these high-dimensional manifolds also offer the opportunity to perform quantum information processing operations for qudit-based quantum computing, which we exemplify with an entangling gate and a state-transfer protocol for the states in the neighborhood of the circular Rydberg level.

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“…provides a dual low-energy effective description of the massive Schwinger model [118,120,135], described by…”

Section: Overview Of the Model And Rydberg Implementationmentioning

confidence: 99%

Section: Appendix C: Ponderomotive Couplingmentioning

confidence: 99%

See 1 more Smart Citation

High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

Kruckenhauser¹,

Bijnen²,

Zache³

et al. 2022

Preprint

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“…Bosonization is one of the most popular methods to describe one-dimensional quantum fluids [1]. It has recently been used in combination with the nonperturbative functional renormalization (FRG) group to study the Mott-insulating phase induced by a periodic potential (in the framework of the sine-Gordon model) [2,3] and the Bose-glass phase of disordered bosons [4][5][6][7][8]. These studies are based on an action S[ϕ] expressed solely in terms of the "density" field ϕ, its conjugate partner, the phase ϑ of the superfluid order parameter (the field operator ψ for bosons), being integrated out from the outset.…”

mentioning

confidence: 99%

Flowing bosonization in the nonperturbative functional renormalization-group approach

Daviet

Dupuis

2022

SciPost Phys.

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Bosonization allows one to describe the low-energy physics of one-dimensional quantum fluids within a bosonic effective field theory formulated in terms of two fields: the ``density’’ field \varphiφ and its conjugate partner, the phase \varthetaϑ of the superfluid order parameter. We discuss the implementation of the nonperturbative functional renormalization group in this formalism, considering a Luttinger liquid in a periodic potential as an example. We show that in order for \varthetaϑ and \varphiφ to remain conjugate variables at all energy scales, one must dynamically redefine the field \varthetaϑ along the renormalization-group flow. We derive explicit flow equations using a derivative expansion of the scale-dependent effective action to second order and show that they reproduce the flow equations of the sine-Gordon model (obtained by integrating out the field \varthetaϑ from the outset) derived within the same approximation. Only with the scale-dependent (flowing) reparametrization of the phase field \varthetaϑ do we obtain the standard phenomenology of the Luttinger liquid (when the periodic potential is sufficiently weak so as to avoid the Mott-insulating phase) characterized by two low-energy parameters, the velocity of the sound mode and the renormalized Luttinger parameter.

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“…FRG analyses are intrinsically nonpertrubative and are based on an exact RG flow equation to which approximate solutions can be readily obtained numerically. Recent successes in the applications of FRG include the elucidation of scaling behavior in, e.g., critical N -component ferromagnets [38], reaction-diffusion systems [39][40][41][42][43], the Kardar-Parisi-Zhang model [44][45][46], and turbulence [47][48][49], as well as non-universal observ-ables far from scaling regimes [50,51]. Using FRG, we uncover here three novel nonequilibrium UCs by studying a multicritical region of dry compressible PAFs, and quantify the associate scaling behaviors beyond the oneloop level.…”

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confidence: 99%

Novel critical phenomena in compressible polar active fluids: A functional renormalization group approach

Jentsch¹,

Lee²

2022

Preprint

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Active matter is not only relevant to living matter and diverse nonequilibrium systems, but also constitutes a fertile ground for novel physics. Indeed, dynamic renormalization group (DRG) analyses have uncovered many new universality classes (UCs) in polar active fluids -an archetype of active matter systems. However, due to the inherent technical difficulties in the DRG methodology, almost all previous studies have been restricted to polar active fluids in the incompressible or infinitely compressible (i.e., Malthusian) limits, and, when the -expansion was used in conjunction, to the one-loop level. Here, we use functional renormalization group methods to bypass some of these difficulties and unveil for the first time novel critical behavior in compressible polar active fluids, and calculate the corresponding critical exponents beyond the one-loop level. Specifically, focusing on a multicritical region of the system, we find three novel UCs and quantify their associate scaling behavior near the upper critical dimension dc = 6.

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Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group

Cited by 8 publications

References 63 publications

High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

Flowing bosonization in the nonperturbative functional renormalization-group approach

Novel critical phenomena in compressible polar active fluids: A functional renormalization group approach

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