Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction

• URL: http://arxiv.org/abs/2407.03928v1
• Date: Thu, 4 Jul 2024 13:40:08 GMT
• Title: Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Authors: Benedikt J. P. Pernack, Mikhail V. Fistul, Ilya M. Eremin,
• Abstract summary: We study theoretically a variety of collective quantum phases occurring in frustrated saw-tooth chains of Josephson junctions embedded in a dissipationless transmission line. The direct embedding of $pi$-Josephson junctions in a transmission line allows to establish a short/long-range interaction between (anti)vortices of well separated cells.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study theoretically a variety of collective quantum phases occurring in frustrated saw-tooth chains of Josephson junctions embedded in a dissipationless transmission line. The basic element of a system, i.e., the triangular superconducting cell, contains two $0$- and one $\pi$- Josephson junctions characterized by $E_J$ and $\alpha E_J$ Josephson energies, accordingly. In the frustrated regime the low energy quantum dynamics of a single cell is determined by anticlockwise or clockwise flowing persistent currents (vortex/antivortex). The direct embedding of $\pi$-Josephson junctions in a transmission line allows to establish a short/long-range interaction between (anti)vortices of well separated cells. By making use of the variational approach, we map the superconducting circuit Hamiltonian to an effective $XX$ spin model with an exchange spin-spin interaction decaying with the distance $x$ as $x^{-\beta}$, and the local $\hat \sigma_{x,n}$-terms corresponding to the coherent quantum beats between vortex and antivortex in a single cell. We obtain that in long arrays as $N \gg \ell_0 \simeq \sqrt{C/C_0}$, where $C$ and $C_0$ are capacitances of $0$-Josephson junction and transmission line, accordingly, the amplitude of quantum beats is strongly suppressed. By means of exact numerical diagonalization, we study the interplay between the coherent quantum beats and the exchange spin-spin interaction leading to the appearance of various collective quantum phases such as the paramagnetic ($P$), compressible superfluid ($CS$) and weakly compressible superfluid ($w$-$CS$) states.

Related papers

• Collective quantum phases in frustrated arrays of Josephson junctions [0.0]
  Frustration is introduced through the periodic arrangement of $0$- and $pi$- Josephson junctions. We study collective quantum phases and quantum phase transitions occurring in frustrated sawtooth arrays of small quantum Josephson junctions.
  arXiv  Detail & Related papers  (2024-11-30T08:01:13Z)
• Quantum Phonon Dynamics Induced Spontaneous Spin-Orbit Coupling [9.748987642024122]
  A spin-dependent electron-phonon coupling model is investigated on a half-filled square lattice. Spin-orbit coupling emerges as an order in the ground state for any $lambda$ in the adiabatic limit. Our work opens up the possibility of hidden spin-orbit coupling in materials where it is otherwise forbidden by lattice symmetry.
  arXiv  Detail & Related papers  (2024-10-22T12:19:52Z)
• Generalized Josephson effect with arbitrary periodicity in quantum magnets [2.677152559497569]
  Easy-plane quantum magnets are strikingly similar to superconductors. We uncover a generalized fractional Josephson effect with a periodicity that increases linearly with system size. We reveal a universal energy-phase relation and connect the effect to the recently discovered phantom helices.
  arXiv  Detail & Related papers  (2024-08-07T18:00:16Z)
• Waveguide quantum electrodynamics at the onset of spin-spin correlations [36.136619420474766]
  We find that molecules belonging to one of the two crystal sublattices form one-dimensional spin chains. The microwave transmission shows evidences for the collective coupling of quasi-identical spins to the propagating photons.
  arXiv  Detail & Related papers  (2024-04-04T18:00:05Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer [68.8204255655161]
  We work out the exact solutions in the one-excitation subspace. We present numerical evidence that pretty good transmission is achieved by chains whose length is not a power of two.
  arXiv  Detail & Related papers  (2022-06-28T18:31:09Z)
• $Z_4$ parafermion $\pm \pi/2$ modes in interacting periodically driven superconducting chain [0.0]
  Parafermion edge modes emerge in periodically driven superconducting chain. $pm pi/ (2T)$ quasienergy excitations arise from interplay between interaction effect and periodic driving.
  arXiv  Detail & Related papers  (2021-06-29T07:07:43Z)
• Entanglement between a telecom photon and an on-demand multimode solid-state quantum memory [52.77024349608834]
  We show the first demonstration of entanglement between a telecom photon and a collective spin excitation in a multimode solid-state quantum memory. We extend the entanglement storage in the quantum memory for up to 47.7$mu$s, which could allow for the distribution of entanglement between quantum nodes separated by distances of up to 10 km.
  arXiv  Detail & Related papers  (2021-06-09T13:59:26Z)
• Algorithmic Ground-state Cooling of Weakly-Coupled Oscillators using Quantum Logic [52.77024349608834]
  We introduce a novel algorithmic cooling protocol for transferring phonons from poorly- to efficiently-cooled modes. We demonstrate it experimentally by simultaneously bringing two motional modes of a Be$+$-Ar$13+$ mixed Coulomb crystal close to their zero-point energies. We reach the lowest temperature reported for a highly charged ion, with a residual temperature of only $Tlesssim200mathrmmu K$ in each of the two modes.
  arXiv  Detail & Related papers  (2021-02-24T17:46:15Z)
• Optimal coupling of HoW$_{10}$ molecular magnets to superconducting circuits near spin clock transitions [85.83811987257297]
  We study the coupling of pure and magnetically diluted crystals of HoW$_10$ magnetic clusters to microwave superconducting coplanar waveguides. Results show that engineering spin-clock states of molecular systems offers a promising strategy to combine sizeable spin-photon interactions with a sufficient isolation from unwanted magnetic noise sources.
  arXiv  Detail & Related papers  (2019-11-18T11:03:06Z)

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.