Chiral central charge from a single bulk wave function

• URL: http://arxiv.org/abs/2110.06932v2
• Date: Mon, 18 Oct 2021 06:08:58 GMT
• Title: Chiral central charge from a single bulk wave function
• Authors: Isaac H. Kim, Bowen Shi, Kohtaro Kato, Victor V. Albert
• Abstract summary: A $(2+1)$-dimensional gapped quantum many-body system can have a topologically protected energy current at its edge. We derive a formula for the chiral central charge that, akin to the topological entanglement entropy, is completely determined by the many-body ground state wave function in the bulk.
• Score: 7.030880381683382
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A $(2+1)$-dimensional gapped quantum many-body system can have a topologically protected energy current at its edge. The magnitude of this current is determined entirely by the temperature and the chiral central charge, a quantity associated with the effective field theory of the edge. We derive a formula for the chiral central charge that, akin to the topological entanglement entropy, is completely determined by the many-body ground state wave function in the bulk. According to our formula, nonzero chiral central charge gives rise to a topological obstruction that prevents the ground state wave function from being real-valued in any local product basis.

Related papers

• Universal non-Hermitian flow in one-dimensional PT-symmetric quantum criticalities [5.402334522977581]
  We study the finite-size scaling of the energy of non-Hermitian Su-Schrieffer-Heeger model with parity and time-reversal symmetry. We find that under open boundary condition (OBC), the energy scaling $E(L)sim c/L$ reveals a negative central charge $c=-2$ at the non-Hermitian critical point. The scaling function demonstrates distinct behaviors at topologically non-trivial and trivial sides of critical points.
  arXiv  Detail & Related papers  (2024-05-02T18:02:13Z)
• One-Half Topological Number in Entangled Quantum Physics [0.0]
  A topological phase can be engineered in quantum physics from the Bloch sphere of a spin-1/2 showing a hedgehog structure as a result of a radial magnetic field. We show applications of entangled wavefunctions in band structures, introducing a local topological marker in momentum space.
  arXiv  Detail & Related papers  (2023-08-27T10:08:40Z)
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering [44.99833362998488]
  Floquet engineering is an important tool for realizing charge-neutral atoms in optical lattices. We show that a driven-dissipative system approximates a topological insulator.
  arXiv  Detail & Related papers  (2023-07-07T17:47:50Z)
• Extracting higher central charge from a single wave function [0.19999259391104385]
  A quantity regarded as a "higher" version of chiral central charge gives a further obstruction beyond $c_-$ to gapping out the edge. We show that the higher central charge can be characterized by the expectation value of the textitpartial rotation operator acting on the wavefunction of the topologically ordered state. This allows us to extract the higher central charge from a single wavefunction, which can be evaluated on a quantum computer.
  arXiv  Detail & Related papers  (2023-03-08T19:00:02Z)
• A functional approach to the Van der Waals interaction [0.0]
  We use a functional integral approach to evaluate the quantum interaction energy between two neutral atoms. We show that the resulting expression for the energy becomes the Van der Waals interaction energy at the first non-trivial order. We also explore the opposite, strong-coupling limit, which yields a result for the interaction energy as well as a threshold for the existence of a vacuum decay probability.
  arXiv  Detail & Related papers  (2023-02-01T19:14:28Z)
• From entanglement generated dynamics to the gravitational anomaly and chiral central charge [0.0]
  We study the linear response of the entanglement entropy of a simply connected region with respect to modular flow. First, we apply it to (1+1)D conformal field theories and demonstrate its relationship to the chiral central charge. Next, we apply it to (2+1)D gapped ground states where it reduces to a recently proposed formula.
  arXiv  Detail & Related papers  (2022-06-06T18:01:28Z)
• Classical analog of qubit logic based on a magnon Bose-Einstein condensate [52.77024349608834]
  We present a classical version of several quantum bit (qubit) functionalities using a two-component magnon Bose-Einstein condensate. The macroscopic wavefunctions of these two condensates serve as orthonormal basis states that form a system being a classical counterpart of a single qubit.
  arXiv  Detail & Related papers  (2021-11-12T16:14:46Z)
• Wave functions for high-symmetry, thin microstrip antennas and two-dimensional quantum boxes [48.7576911714538]
  For a spinless quantum particle in a one-dimensional box or an electromagnetic wave in a one-dimensional cavity, the respective Dirichlet and Neumann boundary conditions both lead to non-degenerate wave functions. In two spatial dimensions, the symmetry of the box or microstrip antenna is an important feature that has often been overlooked in the literature.
  arXiv  Detail & Related papers  (2021-08-18T00:57:42Z)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• Dimerization of many-body subradiant states in waveguide quantum electrodynamics [137.6408511310322]
  We study theoretically subradiant states in the array of atoms coupled to photons propagating in a one-dimensional waveguide. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization. We reveal the breakdown of fermionized subradiant states with increase of $f$ with emergence of short-ranged dimerized antiferromagnetic correlations.
  arXiv  Detail & Related papers  (2021-06-17T12:17:04Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)

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.