Dynamics of finite dimensional non-hermitian systems with indefinite metric

Abstract

We discuss the time evolution of physical finite dimensional systems which are modelled by non-hermitian Hamiltonians. We address both general non-hermitian Hamiltonians and pseudo-hermitian ones. We apply the theory of Krein Spaces to construct metric operators and well-defined inner products. As an application, we study the stationary behaviour of dissipative One Axis Twisting Hamiltonians. We discuss the effect of decoherence under different coupling schemes.

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Cited by in corpus (8)

• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• Excepional Points from Hamiltonians of hybrid physical systems: Squeezing and anti-Squeezing
• On regular and chaotic dynamics of a non-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonian system of a coupled Duffing oscillator with balanced loss and gain
• Optimal Spin Squeezed Steady State induced by the dynamics of non-hermtian hamiltonians
• Integral Transforms and $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Gamow vectors formalism applied to the Loschmidt echo
• Entanglement of pseudo-Hermitian random states
• Swanson Hamiltonian: non-PT-symmetry phase