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We propose a minimal effective impurity model that captures the phenomenology of the Mott-Hubbard metal-insulator transition (MIT) of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean…

Strongly Correlated Electrons · Physics 2023-11-14 Abhirup Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal

We analyze the strong-coupling dynamics of a driven harmonic oscillator whose energy is modulated by a continuum of other bosonic modes. This type of system-bath interaction appears, for example, in optomechanical or equivalent circuit QED…

Quantum Physics · Physics 2019-04-05 Y. Minoguchi , P. Kirton , P. Rabl

Quantum mechanics describes the unitary time evolution of closed systems. In practice, every quantum system interacts with the environment leading to an irreversible loss of coherence. The Spin-Boson model (SBM) is central to the…

Chemical Physics · Physics 2020-09-28 Nirmalendu Acharyya , Martin Richter , Benjamin P. Fingerhut

Decoherence of a central spin coupled to an interacting spin bath via inhomogeneous Heisenberg coupling is studied by two different approaches, namely an exact equations of motion (EOMs) method and a Chebyshev expansion technique (CET). By…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Ning Wu , Nina Fröhling , Xi Xing , Johannes Hackmann , Arun Nanduri , Frithjof B. Anders , Herschel Rabitz

We consider an impurity ($N$--level atom) driven by monochromatic light in a host environment which is a fermionic thermal reservoir. The external light source is a time--periodic perturbation of the atomic Hamiltonian stimulating…

Mathematical Physics · Physics 2016-08-31 Jean-Bernard Bru , Walter de Siqueira Pedra , Matthias Westrich

We review a recently developed method, based on an exact auxiliary boson representation, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. Coherent spin and charge fluctuation processes are taken into…

Strongly Correlated Electrons · Physics 2007-05-23 J. Kroha , P. Wölfle

The eigenvalues of a non-Hermitian Hamilton operator are complex and provide not only the energies but also the lifetimes of the states of the system. They show a non-analytical behavior at singular (exceptional) points (EPs). The…

Quantum Physics · Physics 2016-04-27 H. Eleuch , I. Rotter

We demonstrate that quantum coherence can be generated by the interplay of coupling to an incoherent environment and kinetic processes. This joint effect even occurs in a repulsively interacting fermionic system initially prepared in an…

Strongly Correlated Electrons · Physics 2013-12-17 Jean-Sebastien Bernier , Peter Barmettler , Dario Poletti , Corinna Kollath

We investigate theoretically equilibrium and dynamical properties of a Kondo impurity coupled to either 1D or 2D superconductors, modeled by the attractive Fermi-Hubbard model. By employing a non-Gaussian variational approach, we go beyond…

Strongly Correlated Electrons · Physics 2025-01-13 Zhi-Yuan Wei , Tao Shi , J. Ignacio Cirac , Eugene A. Demler

Physical systems with gain and loss can be described by a non-Hermitian Hamiltonian, which is degenerated at the exceptional points (EPs). Many new and unexpected features have been explored in the non-Hermitian systems with a great deal of…

Non-Hermitian (NH) quantum systems host exceptional points (EPs), where eigenstates and eigenvalues coalesce, leading to unconventional many-body phenomena absent in Hermitian systems. While NH fermionic systems with complex interactions…

Quantum Gases · Physics 2025-09-23 Soma Takemori , Kazuki Yamamoto , Akihisa Koga

We unravel the periodically driven dynamics of two repulsively interacting bosonic impurities within a bosonic bath upon considering either the impact of a finite pulse or a continuous shaking of the impurities harmonic trap. Following a…

Quantum Physics · Physics 2020-02-26 K. Mukherjee , S. I. Mistakidis , S. Majumder , P. Schmelcher

Recent experimental observations of apparently hydrodynamic electronic transport have generated much excitement. However, the understanding of the observed non-local transport (whirlpool) effects and parabolic (Poiseuille-like) current…

Strongly Correlated Electrons · Physics 2020-06-02 Aaron Hui , Samuel Lederer , Vadim Oganesyan , Eun-Ah Kim

We discuss the role of many-body spin correlations in nonlinear optical response of a Fermi sea system with a deep impurity level. Due to the Hubbard repulsion between electrons at the impurity, the optical transitions between the impurity…

Condensed Matter · Physics 2015-06-24 T. V. Shahbazyan , I. E. Perakis , M. E. Raikh

We investigate the rich non-equilibrium physics arising in periodically driven open quantum systems, specifically those realized within microcavity resonators, whose dynamics are governed by a non-Hermitian Hamiltonian hosting Floquet…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Gaurab Kumar Dash , Subhendu Kumar Patra , Diptiman Sen , Manisha Thakurathi

We consider different properties of small open quantum systems coupled to an environment and described by a non-Hermitian Hamilton operator. Of special interest is the non-analytical behavior of the eigenvalues in the vicinity of singular…

Quantum Physics · Physics 2015-04-15 Hichem Eleuch , Ingrid Rotter

We explore anomalous skin effects at non-Hermitian impurities by studying their interplay with potential disorder and by exactly solving a minimal lattice model. A striking feature of the solvable single-impurity model is that the presence…

Disordered Systems and Neural Networks · Physics 2023-10-06 Paolo Molignini , Oscar Arandes , Emil J. Bergholtz

Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved…

Disordered Systems and Neural Networks · Physics 2025-10-23 Andrew Stasiuk , Garrett Heller , Lance Berkey , Bo Xing , Paola Cappellaro

The Dicke model, which describes the collective interaction between an ensemble of atoms and a single-mode photon field, serves as a fundamental framework for studying light-matter interactions and quantum electrodynamic phenomena. In this…

Quantum Physics · Physics 2024-11-14 Bin Jiang , Yi-Yang Li , Junjie Liu , Chen Wang , Jian-Hua Jiang

We construct an exactly solvable $\mathscr{PT}-$symmetric non-Hermitian model where a spin$-\frac{1}{2}$ isotropic quantum Heisenberg spin chain is coupled to two spin$-\frac{1}{2}$ Kondo impurities at its boundaries with coupling strengths…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Natan Andrei