Quantum frustrated Wigner chains

• URL: http://arxiv.org/abs/2311.14396v2
• Date: Mon, 23 Sep 2024 07:50:12 GMT
• Title: Quantum frustrated Wigner chains
• Authors: Raphaël Menu, Jorge Yago Malo, Vladan Vuletić, Maria Luisa Chiofalo, Giovanna Morigi,
• Abstract summary: A Wigner chain in a periodic potential is a paradigmatic example of geometric frustration with long-range interactions. We show that their action is mapped into a massive, long-range (1+1) Thirring model, where the solitons are charged fermionic excitations over an effective Dirac sea.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: A Wigner chain in a periodic potential is a paradigmatic example of geometric frustration with long-range interactions. The dynamics emulates the Frenkel-Kontorova model with Coulomb interactions. In the continuum approximation, dislocations are sine-Gordon solitons with power-law decaying tails. We show that their action is mapped into a massive, long-range (1+1) Thirring model, where the solitons are charged fermionic excitations over an effective Dirac sea. We identify the corresponding mean field theory and show that the Coulomb interactions destabilize structures commensurate with the periodic substrate, suppressing their onset and giving rise to {\it interaction-induced} lubrication. Our study identifies the role of long-range interactions on determining nanofriction. Our predictions can be probed in state-of-the-art trapped ion experiments.

Related papers

• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Minimally coupled fermion-antifermion pairs via exponentially decaying potential [0.0]
  We study how a fermion-antifermion ($foverlinef$) pair interacts via an exponentially decaying potential. We find that such interacting $foverlinef$ systems are unstable and decay over time, with the decay time depending on the Compton wavelength of the fermions.
  arXiv  Detail & Related papers  (2024-07-31T13:47:16Z)
• Fractal ground state of ion chains in periodic potentials [0.0]
  Trapped ions in a periodic potential are a paradigm of a frustrated Wigner crystal. The dynamics is captured by a long-range Frenkel-Kontorova model. We discuss the experimental parameters as well as the features that allow one to observe and reveal our predictions.
  arXiv  Detail & Related papers  (2024-03-23T13:48:07Z)
• Anomalous localization in spin chains with tilted interactions [0.0]
  lattice gauge theories involve dynamics of typically short-ranged interacting particles and dynamical fields. We consider localization properties of a spin chain with interaction strength growing linearly along the chain as for the Schwinger model. Our study is relevant for quantum simulators of lattice gauge theories implemented in state-of-the-art cold atom/ion devices.
  arXiv  Detail & Related papers  (2024-01-25T18:16:52Z)
• 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)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
  Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
  arXiv  Detail & Related papers  (2022-05-19T13:28:47Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Static kinks in chains of interacting atoms [0.0]
  We analyse the equation of topological solitons in a chain of particles interacting via a repulsive power-law potential. Our formalism allows one to take into account the finite-size effects and also slowly varying external potentials, such as for instance the curvature in an ion trap.
  arXiv  Detail & Related papers  (2020-04-08T05:51:03Z)
• Interacting Stochastic Topology and Mott Transition from Light Response [0.0]
  We develop a description of the topological properties in an interacting Chern insulator. We make predictions for circular dichroism of light related to the quantum Hall conductivity on the lattice.
  arXiv  Detail & Related papers  (2020-02-05T12:04:44Z)

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.