Abstract
Calculations for open quantum systems are performed usually by taking into account their embedding into one common environment, which is mostly the common continuum of scattering wavefunctions. Realistic quantum systems are coupled however mostly to more than one continuum. For example, the conductance of an open cavity needs at least two environments, namely the input and the output channel. In the present paper, we study generic features of the transfer of particles through an open quantum system coupled to two channels. We compare the results with those characteristic of a one-channel system. Of special interest is the parameter range which is influenced by singular points. Here, the states of the system are mixed via the environment. In the one-channel case, the resonance structure of the cross section is independent of the existence of singular points. In the two-channel case, however, new effects appear such as coherence. An example is the enhanced conductance of an open cavity in a certain finite parameter range. It is anti-correlated with the averaged phase rigidity of the eigenfunctions of the non-Hermitian Hamilton operator.Graphical abstract
Highlights
Quantum systems are localized in a finite well-defined space area
The competing effects of Markovian and non-Markovian mechanisms have been investigated. It is the aim of the present paper to find typical spectroscopic features of an open quantum system that is coupled to two particle-decay channels, which are independent of one another
Our results show further that the dynamical properties of the system are influenced by exceptional points (EP) at parameter values that correspond to their “exact” position
Summary
Quantum systems are localized in a finite well-defined space area. This area may be determined by certain boundary conditions (e.g. in quantum dots or quantum billiards) or by self-organization (e.g. in atomic nuclei). The influence of the singular exceptional points (EP) is not involved in these calculations These results are not in contradiction with the statement of non-Hermitian quantum physics that EPs and EM may influence, to a great extent, the spectroscopic properties of open quantum systems. A channel is open when the energy difference between the state i and the state of the residual nucleus is positive, i.e. when the emission of a particle is allowed Another – and more important – example is the transmission through, e.g., a quantum dot. The competing effects of Markovian and non-Markovian mechanisms have been investigated It is the aim of the present paper to find typical spectroscopic features of an open quantum system that is coupled to two particle-decay channels, which are independent of one another.
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