Controlling correlations of a polaritonic Luttinger liquid by engineered cross-Kerr nonlinearity

• URL: http://arxiv.org/abs/2602.15630v1
• Date: Tue, 17 Feb 2026 15:00:23 GMT
• Title: Controlling correlations of a polaritonic Luttinger liquid by engineered cross-Kerr nonlinearity
• Authors: Nabaneet Sharma, Anushree Dey, Bimalendu Deb,
• Abstract summary: We study correlation properties of polaritons at zero temperature in a multiconnected Jaynes--Cummings lattice.<n>Cross-Kerr nonlinearity mimics attractive nearest-neighbour interaction.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study correlation properties of polaritons at zero temperature in a multiconnected Jaynes--Cummings (MCJC) lattice on a superconducting circuit quantum electrodynamics platform with engineered cross-Kerr nonlinearity that mimics attractive nearest-neighbour interaction. A multi-connected Jaynes--Cummings lattice is a one-dimensional lattice constructed from alternating qubits and resonators with different left and right couplings. The nearest-neighbour interaction or cross-Kerr coupling is implemented dispersively through ladder-type qutrits between each nearest neighboring pair of resonator modes. Projecting onto the lower-polaritonic manifold, we derive an extended two-mode (bipartite) Bose--Hubbard-like model featuring on-site and attractive nearest-neighbor interactions. Employing a continuum bosonization approach, we express the Hamiltonian in terms of symmetric ($+$) and antisymmetric ($-$) collective modes. In the regime where the ($-$) sector acquires a finite gap, one can reduce the system to an effective single-component Luttinger liquid model for the $+$ sector. The cross-Kerr term reduces the compressibility of the ($+$) mode, thereby enhancing the corresponding Luttinger parameter $K_{+}$, resulting in the slower algebraic decay of single-particle correlations, $G(x)\propto|x|^{-1/(4K_{+})}$.

Related papers

• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Controlled Parity of Cooper Pair Tunneling in a Hybrid Superconducting Qubit [0.4919563440467985]
  Superconducting quantum circuits derive their nonlinearity from the Josephson energy-phase relation.<n>Controlling harmonic parity enables supercurrent carried by pairs of Cooper pairs.
  arXiv  Detail & Related papers  (2026-01-16T13:56:48Z)
• Phase structure of the one-dimensional $\mathbb{Z}_2$ lattice gauge theory with second nearest-neighbor interactions [0.0]
  We extend previous studies by including second nearest-neighbor (2NN) interactions.<n>The inclusion of 2NN interactions enhances charge order and suppresses pair coherence, evidenced by sharp peaks in the structure factor and rapid decay in pair-pairors.
  arXiv  Detail & Related papers  (2025-12-11T15:46:18Z)
• Dynamical Aharonov-Bohm cages and tight meson confinement in a $\mathbb{Z}_2$-loop gauge theory [44.99833362998488]
  We study the finite-density phases of a $mathbbZ$ lattice gauge theory (LGT) of interconnected loops and dynamical $mathbbZ$ charges.
  arXiv  Detail & Related papers  (2024-12-17T00:26:24Z)
• Unifying Floquet theory of longitudinal and dispersive readout [33.7054351451505]
  We devise a Floquet theory of longitudinal and dispersive readout in circuit QED.<n>We apply them to superconducting and spin-hybrid cQED systems.
  arXiv  Detail & Related papers  (2024-07-03T18:00:47Z)
• Flux-Tunable Regimes and Supersymmetry in Twisted Cuprate Heterostructures [39.58317527488534]
  Two Josephson junctions are integrated in a SQuID circuit threaded by a magnetic flux. We show that the flowermon qubit regime is maintained up to a finite critical value of the magnetic field. The interplay between the inherent twisted d-wave nature of the order parameter and the external magnetic flux enables the implementation of different artificial atoms.
  arXiv  Detail & Related papers  (2024-05-06T13:27:19Z)
• Toolbox for nonreciprocal dispersive models in circuit QED [41.94295877935867]
  We provide a systematic method for constructing effective dispersive Lindblad master equations to describe weakly anharmonic superconducting circuits coupled by a generic dissipationless nonreciprocal linear system. Results can be used for the design of complex superconducting quantum processors with nontrivial routing of quantum information, as well as quantum simulators of condensed matter systems.
  arXiv  Detail & Related papers  (2023-12-13T18:44:55Z)
• Pairing dome from an emergent Feshbach resonance in a strongly repulsive bilayer model [0.0]
  A key to understanding unconventional superconductivity lies in unraveling the pairing mechanism of mobile charge carriers in doped antiferromagnets. Here, we study pairing in a mixed-dimensional (mixD) $t-J$ model, featuring robust binding energies. Our work provides a microscopic theory of pairing in the doped mixD system with dominant repulsion, closely related to bilayer, Ni-based superconductors.
  arXiv  Detail & Related papers  (2023-09-22T17:59:13Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Majorana Zero Modes in Fermionic Wires coupled by Aharonov-Bohm Cages [0.0]
  We devise a number-conserving scheme for the realization of Majorana Zero Modes in an interacting fermionic ladder coupled by Aharonov-Bohm cages. A generic nearest-neighbor interaction generates the desired correlated hopping of pairs. We demonstrate the adiabatic connection to previous models, including exactly-solvable ones, and we briefly comment on possible experimental realizations in synthetic quantum platforms.
  arXiv  Detail & Related papers  (2022-08-19T14:51:38Z)
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains [6.0413288393037305]
  We numerically investigate the ground state of the extended $t$-$J$ Hamiltonian with periodic local modulations in one dimension. We obtain a rich ground-state phase diagram consisting of the metallic state, the superconducting state, the phase separation, and insulating states at commensurate fillings.
  arXiv  Detail & Related papers  (2021-11-26T19:00:18Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.