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Detecting the critical point through entanglement in Schwinger model
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abstract
Using quantum simulations on classical hardware, we study the phase diagram of the massive Schwinger model with a $\theta$-term at finite chemical potential $\mu$. We find that the quantum critical point in the phase diagram of the model can be detected through the entanglement entropy and entanglement spectrum. As a first step, we chart the phase diagram using conventional methods by computing the dependence of the charge and chiral condensates on the fermion mass $m$, coupling constant $g$, and the chemical potential $\mu$. At zero density, the Schwinger model possesses a quantum critical point at $\theta=\pi$ and $m/g \simeq 0.33$. We find that the position of this quantum critical point depends on the chemical potential. Near this quantum critical point, we observe a sharp maximum in the entanglement entropy. Moreover, we find that the quantum critical point can be located from the entanglement spectrum by detecting the position of the gap closing point.
Forward citations
Cited by 4 Pith papers
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Onset of Bjorken Flow in Quantum Evolution of the Massive Schwinger Model
In the 1+1D massive Schwinger model, tensor network simulation of a localized excitation reveals Bjorken-like hydrodynamic flow for small fermion mass, but not for large mass.
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Critical behavior of the Schwinger model via gauge-invariant VUMPS
The gauge-invariant VUMPS algorithm determines the continuum critical mass of the Schwinger model as (m/g)c = 0.333556(5) and produces data collapse consistent with Ising critical exponents.
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Quantum thermalization of Quark-Gluon Plasma
In a 1+1D Schwinger model, strong-coupling quark Wigner functions thermalize to quantum statistical averages, while weak-coupling scalar and axial components do not because of many-body scars, and the θ-vacuum angle c...
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Collective motion in the massive Schwinger model via Tensor Network
Tensor-network simulations of the massive Schwinger model show Bjorken-like hydrodynamics at small m/g and sharp dynamical order parameters marking the parity-breaking phase transition near m/g=0.33 at θ=π.
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