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We present a coupled pair approach for studying few-body physics in harmonically trapped ultracold gases. The method is applied to a two-component Fermi system of $N$ particles. A stochastically variational gaussian expansion method is…

Quantum Gases · Physics 2014-08-27 C. J. Bradly , B. C. Mulkerin , A. M. Martin , H. M. Quiney

We systematically characterize the dynamical evolution of time-parity (PT )-symmetric two-level systems with spin-dependent dissipations. If the control parameters of the gap are linearly tuned with time, the dynamical evolution can be…

Quantum Physics · Physics 2026-01-21 Jian-Song Pan , Fan Wu

Quantum master equations are common tools to describe the dynamics of many-body systems open to an environment. Due to the interaction with the latter, even for the case of non-interacting electrons, the computational cost to solve these…

Other Condensed Matter · Physics 2009-09-29 Yu. V. Pershin , Y. Dubi , M. Di Ventra

We are concerned with few-particle correlations in a fermionic system at finite temperature and density. Within the many-body Green functions formalism the description of correlations is provided by the Dyson equation approach that leads to…

Nuclear Theory · Physics 2007-05-23 S. A. Sofianos , M. Beyer

We show that in a gas of ultra cold atoms distance selective two-body loss can be engineered via the resonant laser excitation of atom pairs to interacting electronic states. In an optical lattice this leads to a dissipative Master equation…

Atomic Physics · Physics 2012-12-12 C. Ates , B. Olmos , W. Li , I. Lesanovsky

The optomechanical state transfer protocol provides effective, lossy, quantum beam-splitter-like dynamics where the strength of the coupling between the electromagnetic and mechanical modes is controlled by the optical steady-state…

Non-Hermitian skin effects (NHSEs) have recently been extensively studied at the single-particle level. When many-body interactions become dominant, novel non-Hermitian phenomena can emerge. In this work, we propose an experimentally…

Quantum Gases · Physics 2025-07-14 Yang Li , Zhao-Fan Cai , Tao Liu , Franco Nori

Non-Hermiticity greatly expands existing physical laws beyond the Hermitian framework, revealing various novel phenomena with unique properties. Up to now, most exotic nonHermitian effects, such as exceptional points and non-Hermitian skin…

Mesoscale and Nanoscale Physics · Physics 2021-09-20 Weixuan Zhang , Fengxiao Di , Hao Yuan , Haiteng Wang , Xingen Zheng , Lu He1 , Houjun Sun , Xiangdong Zhang

We study the dissipative dynamics of a fermionic superfluid in presence of two-body losses. We use a variational approach for the Lindblad dynamics and obtain dynamical equations for Anderson's pseudo-spins where dissipation enters as a…

Strongly Correlated Electrons · Physics 2023-05-24 Giacomo Mazza , Marco Schirò

We demonstrate that combining the positivity of density matrices with steady-state conditions yields a systematic bootstrap method for studying open quantum many-body systems governed by Lindblad master equations on infinite lattices, which…

Quantum Physics · Physics 2026-04-23 Minjae Cho , Colin Oscar Nancarrow , Petar Tadić , Yuan Xin

This is a work in two parts in which we show how to solve a large class of Lindblad master equations for non-interacting particles on $L$ sites. In part I we concentrate on bosonic particles. We show how to reduce the problem to…

Quantum Physics · Physics 2017-05-17 Chu Guo , Dario Poletti

We study the damping dynamics of the single-particle correlation for an open system under periodic and aperiodic order, which is dominated by the Lindblad master equation. In the absence of the aperiodic order, the Liouvillian superoperator…

Quantum Gases · Physics 2022-02-21 Peng He , Yu-Guo Liu , Jian-Te Wang , Shi-Liang Zhu

The theory of a two-level $\eta$-Hermitian Hamiltonian with $\mathcal{PT}$ symmetry is reviewed and extended to include open system dynamics. A first-principles derivation of the generalized Gorini-Kossakowski-Sudarshan-Lindblad master…

Quantum Physics · Physics 2026-05-11 Baibhab Bose , Devvrat Tiwari , Subhashish Banerjee

The single orbital, one-dimensional, Hatano-Nelson Hamiltonian provides deep insight into the physics of non-Hermiticity, resulting from asymmetric left/right hopping, and its connections to localization. In the absence of disorder, its…

Strongly Correlated Electrons · Physics 2026-04-17 Jonah Huang , Rubem Mondaini , Nancy Aggarwal , Richard Scalettar

The understanding of out-of-equilibrium physics, especially dynamic instabilities and dynamic phase transitions, is one of the major challenges of contemporary science, spanning the broadest wealth of research areas that range from quantum…

Other Condensed Matter · Physics 2018-10-09 Alexey Galda , Valerii M. Vinokur

We study the non-Hermitian fermionic superfluidity subject to dissipation of Cooper pairs on a honeycomb lattice, for which we analyze the attractive Hubbard model with a complex-valued interaction. Remarkably, we demonstrate the emergence…

Quantum Gases · Physics 2024-02-09 Soma Takemori , Kazuki Yamamoto , Akihisa Koga

Non-Hermitian (NH) extension of quantum-mechanical Hamiltonians represents one of the most significant advancements in physics. During the past two decades, numerous captivating NH phenomena have been revealed and demonstrated, but all of…

We analyze many-body entanglement in interacting fermionic systems by using the $M$-body reduced density matrix. We demonstrate that if a particle number conserving fermionic Hamiltonian contains only up to $M$-body interaction terms, then…

Quantum Physics · Physics 2026-04-06 Irakli Giorgadze , Grayson Welch , Haixuan Huang , Elio J. König , Jukka I. Väyrynen

The loss of particles due to highly inelastic reactions has previously been taken into account in effective field theories for low-energy particles by adding local anti-Hermitian terms to the effective Hamiltonian. An additional…

High Energy Physics - Phenomenology · Physics 2016-12-26 Eric Braaten , Hans-Werner Hammer , G. Peter Lepage

The non-Hermitian dynamics of open systems deal with how intricate coherent effects of a closed system intertwine with the impact of coupling to an environment. The system-environment dynamics can then lead to so-called exceptional points,…

Strongly Correlated Electrons · Physics 2022-09-12 Andisheh Khedri , Dominic Horn , Oded Zilberberg
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