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Topological Phases of Non-Hermitian Systems
Recent experimental advances in controlling dissipation have brought about unprecedented flexibility in engineering non-Hermitian Hamiltonians in open classical and quantum systems. A particular…
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Non-Hermitian physics
A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal…
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Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.
TLDR
A phenomenology of dissipative discrete time crystals is established by generalizing the Landau theory of phase transitions to Floquet open systems and finding clear signatures of a transient discrete time-crystalline behavior, which is absent in the isolated counterpart.
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Second-Order Topological Phases in Non-Hermitian Systems.
A d-dimensional second-order topological insulator (SOTI) can host topologically protected (d-2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI can host zero-energy…
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Topological Entanglement-Spectrum Crossing in Quench Dynamics.
TLDR
The stable (d+1)-dimensional topological structures underlying the quench dynamics for all of the Altland-Zirnbauer classes in d=1 dimension are unveiled and the topological origin of the global degeneracies temporarily emerging in the many-body entanglement spectrum in the quen dynamics of the transverse-field Ising model is unraveled.
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Thermodynamic Uncertainty Relation for Arbitrary Initial States.
TLDR
This work derives a finite-time TUR valid for arbitrary initial states from the Cramér-Rao inequality and finds that the variance of an accumulated current is bounded from below by the instantaneous current at the final time, which suggests that "the boundary is constrained by the bulk".
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Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
TLDR
It is shown that in non-Hermitian systems, such as those with gain and loss, time-reversal and particle-hole symmetries are equivalent to each other, unifying otherwise distinct topological classes and leading to emergent non- hermitian topological phases.
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Verification of the quantum nonequilibrium work relation in the presence of decoherence
Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually…
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Classification of Matrix-Product Unitaries with Symmetries.
TLDR
It is proved that matrix-product unitaries with on-site unitary symmetries are completely classified by the (chiral) index and the cohomology class of the symmetry group G, provided that the representations in both system and ancillas are fixed to be the same.
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Quantum-trajectory thermodynamics with discrete feedback control
We employ the quantum jump trajectory approach to construct a systematic framework to study the thermodynamics at the trajectory level in a nonequilibrium open quantum system under discrete feedback…
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