Visualizing spinon Fermi surfaces with time-dependent spectroscopy
- URL: http://arxiv.org/abs/2105.13366v1
- Date: Thu, 27 May 2021 18:00:02 GMT
- Title: Visualizing spinon Fermi surfaces with time-dependent spectroscopy
- Authors: Alexander Schuckert, Annabelle Bohrdt, Eleanor Crane, Fabian Grusdt
- Abstract summary: We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators.
We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure.
The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum simulation experiments have started to explore regimes that are not
accessible with exact numerical methods. In order to probe these systems and
enable new physical insights, the need for measurement protocols arises that
can bridge the gap to solid state experiments, and at the same time make
optimal use of the capabilities of quantum simulation experiments. Here we
propose applying time-dependent photo-emission spectroscopy, an established
tool in solid state systems, in cold atom quantum simulators. Concretely, we
suggest combining the method with large magnetic field gradients, unattainable
in experiments on real materials, to drive Bloch oscillations of spinons, the
emergent quasiparticles of spin liquids. We show in exact diagonalization
simulations of the one-dimensional $t-J$ model that the spinons start to
populate previously unoccupied states in an effective band structure, thus
allowing to visualize states invisible in the equilibrium spectrum. The
dependence of the spectral function on the time after the pump pulse reveals
collective interactions among spinons. In numerical simulations of small
two-dimensional systems, spectral weight appears at the ground state energy at
momentum $\mathbf{q} = (\pi,\pi)$, where the equilibrium spectral response is
strongly suppressed up to higher energies, indicating a possible route towards
solving the mystery of the Fermi arcs in the cuprate materials.
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