We study theoretically the Meissner effect in non-Hermitian systems of BCS type, i.e., with an electron-electron interaction leading to the mean-field description in a Cooper channel, via superfluid stiffness. We show that depending on the values of the mean fields, chemical potential, and temperature, we obtain a paramagnetic or diamagnetic Meissner effect. Notably, the positive real part of the product of the mean fields guarantees a diamagnetic Meissner effect in an $s$-wave three-dimensional (3D) non-Hermitian superconductor. Once the mean fields are close to being anti-Hermitian, 2D $s$-, $p_x$-, and $d$-wave superconductors exhibit interesting behavior, including negative superfluid stiffness giving the paramagnetic Meissner effect for certain parameters. Negative superfluid stiffness indicates instability of this collective state.

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• Meissner effect
• Order parameters
• Superconductivity
• Superfluid density
• Non-Hermitian systems
• Quantum many-body systems
• Superconductors
• Unconventional superconductors
• BCS theory
• London theory
• Mean field theory
• Tight-binding model