Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems

• URL: http://arxiv.org/abs/2209.01363v2
• Date: Sun, 19 Mar 2023 15:05:39 GMT
• Title: Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems
• Authors: Kanta Masuki, and Yuto Ashida
• Abstract summary: We develop a faithful and efficient theoretical framework to analyze quantum geometry and topology in materials ultrastrongly coupled to cavity electromagnetic fields in two dimensions. We show the unitary mapping between the low-energy effective theory of strongly coupled light-matter systems and the Haldane honeycomb model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Strong coupling between matter and quantized electromagnetic fields in a cavity has emerged as a possible route toward controlling the phase of matter in the absence of an external drive. We develop a faithful and efficient theoretical framework to analyze quantum geometry and topology in materials ultrastrongly coupled to cavity electromagnetic fields in two dimensions. The formalism allows us to accurately evaluate geometrical and topological quantities, such as Berry phase and Chern number, in ultrastrong and deep strong coupling regimes. We apply our general framework to analyze a concrete model of massive Dirac fermions coupled to a circularly polarized cavity mode. Surprisingly, in addition to an ordinary transition to the topological phase, our analysis reveals a qualitatively new feature in deep strong coupling regimes, namely, the emergence of reentrant transition to the topologically trivial phase. We also present its intuitive understanding by showing the unitary mapping between the low-energy effective theory of strongly coupled light-matter systems and the Haldane honeycomb model.

Related papers

• Quantum topology in the ultrastrong coupling regime [0.0]
  We show how the delicate interplay between ultrastrong coupling and topological states manifests in a one-dimensional array. We uncover unusual topological edge states, we introduce a flavour of topological state which we call an anti-edge state, and we reveal the remarkable geometric-dependent renormalizations of the quantum vaccum.
  arXiv  Detail & Related papers  (2022-07-11T15:35:45Z)
• 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)
• Localization and melting of interfaces in the two-dimensional quantum Ising model [0.0]
  We study the non-equilibrium evolution of coexisting ferromagnetic domains in the two-dimensional quantum Ising model. We demonstrate that the quantum-fluctuating interface delimiting a large bubble can be studied as an effective one-dimensional system.
  arXiv  Detail & Related papers  (2022-03-17T17:48:51Z)
• Quantum Metric Induced Phases in Moir\'e Materials [3.8399157726466986]
  We show that quantum geometry plays a major role in determining the low-energy physics in strongly correlated lattice models at fractional band fillings. We identify limits in which the Fubini Study metric dictates the ground states and show that this is highly relevant for Moir'e materials.
  arXiv  Detail & Related papers  (2022-02-21T19:00:00Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect [0.0]
  We give a detailed description of our multidisciplinary approach to understand the fate of the quantum anomalous Hall (QAH) phases. We show that tensor-network algorithms based on projected entangled pairs can be used to improve our understanding of the strong-coupling limit. We also present a detailed scheme that uses ultra-cold atoms in optical lattices with synthetic spin-orbit coupling to build quantum simulators.
  arXiv  Detail & Related papers  (2021-11-08T13:22:14Z)
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment [77.34726150561087]
  We study the role of driving in an initial maximally entangled state evolving under a structured environment. This knowledge can aid the search for physical setups that best retain quantum properties under dissipative dynamics.
  arXiv  Detail & Related papers  (2021-03-18T21:11:37Z)
• Correlated Chern insulators in two-dimensional Raman lattices: a cold-atom regularization of strongly-coupled four-Fermi field theories [0.0]
  We show that ultra-cold atoms with synthetic spin-orbit coupling in Raman lattices can be used as versatile quantum simulators. We exploit this multidisciplinary perspective to explore the connections between correlated Chern insulators and strongly-coupled four-Fermi field theories.
  arXiv  Detail & Related papers  (2020-11-17T16:20:03Z)
• Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices [62.997667081978825]
  We study the effects of cavity mediated long range magnetic interactions and optical lattices in ultracold matter. We find that global interactions modify the underlying magnetic character of the system while introducing competition scenarios. These allow new alternatives toward the design of robust mechanisms for quantum information purposes.
  arXiv  Detail & Related papers  (2020-11-16T08:03:44Z)
• Theoretical methods for ultrastrong light-matter interactions [91.3755431537592]
  This article reviews theoretical methods developed to understand cavity quantum electrodynamics in the ultrastrong-coupling regime. The article gives a broad overview of the recent progress, ranging from analytical estimate of ground-state properties to proper computation of master equations. Most of the article is devoted to effective models, relevant for the various experimental platforms in which the ultrastrong coupling has been reached.
  arXiv  Detail & Related papers  (2020-01-23T18:09:10Z)
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system [52.77024349608834]
  Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension. We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
  arXiv  Detail & Related papers  (2020-01-06T16:59:08Z)

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.