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We consider one system in which the terminal dots of a one-dimensional quantum-dot chain couple equally to the left and right leads and study the influence of $\mathcal{PT}$-symmetric complex potentials on the quantum transport process. It…

Quantum Physics · Physics 2016-11-15 Lian-Lian Zhang , Wei-Jiang Gong , Guang-Yu Yi , An Du

Using an approach to open quantum systems based on the effective non-Hermitian Hamiltonian, we fully describe transport properties for a paradigmatic model of a coherent quantum transmitter: a finite sequence of square potential barriers.…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 G. L. Celardo , A. M. Smith , S. Sorathia , V. G. Zelevinsky , R. A. Sen'kov , L. Kaplan

We study the effect of PT-symmetric complex potentials on the transport properties of non-Hermitian systems, which consist of an infinite linear chain and two side-coupled defect points with PT-symmetric complex on-site potentials. By…

Quantum Physics · Physics 2015-05-01 Baogang Zhu , Rong Lü , Shu Chen

We study the influence of the non-homogeneity of a magnetization field on the behaviour of interacting electrons in a quantum dot. In particular we investigate the magnetotransport properties when the dot is weakly coupled to two…

Disordered Systems and Neural Networks · Physics 2011-11-17 N. Sedlmayr , J. Berakdar

We numerically investigate the quantum transport in a coupled kicked rotors with the $\mathcal{PT}$-symmetric potential. We find that the spontaneous $\mathcal{PT}$-symmetry breaking of wavefunctions emerges when the amplitude of the…

Quantum Physics · Physics 2023-03-29 Jian-Zheng Li , Wen-Lei Zhao , Jie Liu

Recently developed parity (P) and time-reversal (T) symmetric non-Hermitian systems govern a rich variety of new and characteristically distinct physical properties, which may or may not have a direct analog in their Hermitian counterparts.…

Superconductivity · Physics 2018-01-24 Ananya Ghatak , Tanmoy Das

We predict a new electron pair-tunneling (PT) resonance in non-linear transport through quantum dots with positive charging energies exceeding the broadening due to thermal and quantum fluctuations. The PT resonance shows up in the…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 M. Leijnse , M. R. Wegewijs , M. H. Hettler

The Hermiticity axiom of quantum mechanics guarantees that the energy spectrum is real and the time evolution is unitary (probability-preserving). Nevertheless, non-Hermitian but $\mathcal{PT}$-symmetric Hamiltonians may also have real…

Quantum Physics · Physics 2018-06-06 Fernando Quijandría , Uta Naether , Sahin K. Özdemir , Franco Nori , David Zueco

Parity-time ($\mathcal{PT}$) symmetry plays an important role both in non-Hermitian and topological systems. In non-Hermitian systems $\mathcal{PT}$ symmetry can lead to an entirely real energy spectrum, while in topological systems…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 W. B. Rui , Moritz M. Hirschmann , Andreas P. Schnyder

The cooperation between time-periodic driving fields and non-Hermitian effects could endow systems with distinctive spectral and transport properties. In this work, we uncover an intriguing class of non-Hermitian Floquet matter in…

Quantum Physics · Physics 2022-08-16 Longwen Zhou , Wenqian Han

Complex potential and non-Hermitian hopping amplitude are building blocks of a non-Hermitian quantum network. Appropriate configuration, such as PT-symmetric distribution, can lead to the full real spectrum. To investigate the underlying…

Quantum Physics · Physics 2013-10-15 X. Z. Zhang , L. Jin , Z. Song

We demonstrate mesoscopic transport through quantum states in quasi-1D lattices maintaining the combination of parity and time-reversal symmetries by controlling energy gain and loss. We investigate the phase diagram of the non-Hermitian…

Quantum Physics · Physics 2017-08-30 Jung-Wan Ryu , Nojoon Myoung , Hee Chul Park

The influence of excited levels on nonlinear transport properties of a quantum dot weakly coupled to leads is studied using a master--equation approach. A charging model for the dot is compared with a quantum mechanical model for…

Condensed Matter · Physics 2009-10-22 W. Pfaff , D. Weinmann , W. Haeusler , B. Kramer , U. Weiss , PTB Braunschweig

We study the transport and spectral properties of a non-Hermitian one-dimensional disordered lattice, the diagonal matrix elements of which are random complex variables taking both positive (loss) and negative (gain) imaginary values: Their…

Disordered Systems and Neural Networks · Physics 2021-03-16 A. F. Tzortzakakis , K. G. Makris , A. Szameit , E. N. Economou

The structure of supersymmetry is analyzed systematically in ${\cal PT}$ symmetric quantum mechanical theories. We give a detailed description of supersymmetric systems associated with one dimensional ${\cal PT}$ symmetric quantum…

High Energy Physics - Theory · Physics 2009-03-24 D. Bazeia , Ashok Das , L. Greenwood , L. Losano

We investigate the spectral properties and dynamical features of a time-periodic PT-symmetric Hamiltonian on a one-dimensional tight-binding lattice. It is shown that a high-frequency modulation can drive the system under a transition…

Quantum Physics · Physics 2013-06-06 Giuseppe Della Valle , Stefano Longhi

Non-Hermitian systems satisfying parity-time (PT) symmetry have aroused considerable interest owing to their exotic features. Anti-PT symmetry is an important counterpart of the PT symmetry, and has been studied in various classical…

Quantum Physics · Physics 2024-06-21 Ji Bian , Pengfei Lu , Teng Liu , Hao Wu , Xinxin Rao , Kunxu Wang , Qifeng Lao , Yang Liu , Feng Zhu , Le Luo

In this work - the second of a pair of articles - we consider transport through spatially symmetric quantum dots with leads whose widths or positions do not obey the spatial symmetry. We use the semiclassical theory of transport to find the…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 Robert S. Whitney , Henning Schomerus , Marten Kopp

PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix theory to show that this spontaneous…

Quantum Physics · Physics 2011-06-24 Henning Schomerus

We investigate linear and non-linear transport in a double quantum dot system weakly coupled to spin-polarized leads. In the linear regime, the conductance as well as the non-equilibrium spin accumulation are evaluated in analytic form. The…

Mesoscale and Nanoscale Physics · Physics 2008-07-01 Ralph Peter Hornberger , Sonja Koller , Georg Begemann , Andrea Donarini , Milena Grifoni
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