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We investigate the presence of memory in the sequential measurement statistics of an open quantum system, as witnessed by the departure from the quantum regression theorem (QRT), that is, the possibility to predict multitime probabilities…

Quantum Physics · Physics 2026-05-08 Paolo Luppi , Claudia Benedetti , Andrea Smirne

In the framework of open quantum systems, we derive the dynamical equation governing two-time correlation functions in the ultra-strong coupling (USC) regime between the system and its environment. Unlike the case of the standard…

Statistical Mechanics · Physics 2025-08-13 Sakil Khan , Bijay Kumar Agarwalla

The quantum regression theorem (QRT) is the most-widely used tool for calculating multitime correlation functions for the assessment of quantum emitters. It is an approximate method based on a Markov assumption for the environmental…

Quantum Physics · Physics 2021-12-20 M. Cosacchi , T. Seidelmann , M. Cygorek , A. Vagov , D. E. Reiter , V. M. Axt

Quantum regression theorem is a very useful result in open quantum system and extensively used for computing multi-point correlation functions. Traditionally it is derived for two-time correlators in the Markovian limit employing the…

Quantum Physics · Physics 2022-09-14 Sakil Khan , Bijay Kumar Agarwalla , Sachin Jain

Experiments performed on quantum systems often measure multitime correlation functions. When quantum systems are weakly coupled to their environment, the time evolution of such correlation functions can be reduced to that of the reduced…

Quantum Physics · Physics 2026-05-22 Thomas K. Bracht , Moritz Cygorek

Temporal correlations are fundamental in quantum physics, yet their computation is often challenging. The regression theorem (or hypothesis) serves as a key tool in this context, offering a seemingly straightforward approach. However, it…

Quantum Physics · Physics 2025-07-09 Leonardo Santos , Otfried Gühne , Stefan Nimmrichter

Quantum phase transitions (QPTs) in the spin-boson model with/without the rotating-wave approximation (RWA) are systematically investigated through variational calculations using a sub-Ohmic bath with high spectral density. Four cases…

Quantum Physics · Physics 2026-03-17 Nengji Zhou , Yulong Shen , Zhe Sun

In the study of open quantum systems, the polaron transformation has recently attracted a renewed interest as it offers the possibility to explore the strong system-bath coupling regime. Despite this interest, a clear and unambiguous…

Quantum Physics · Physics 2016-05-04 Chee Kong Lee , Jeremy Moix , Jianshu Cao

Linear response functions are a cornerstone concept in physics as they enable efficient estimation of many dynamical properties. In addition to predicting dynamics of observables under perturbations without resimulating the system, these…

Quantum Physics · Physics 2025-10-08 Xiantao Li , Chunhao Wang

The quantum regression formula for an open quantum system consists in an infinite hierarchy of conditions for its multi-time correlation functions, thus requiring full access to the total "system+environment" evolution, and providing a…

Quantum Physics · Physics 2022-06-13 Davide Lonigro , Dariusz Chruściński

We present the reaction-coordinate polaron-transform (RCPT) framework for generating effective Hamiltonian models to treat nonequilibrium open quantum systems at strong coupling with their surroundings. Our approach, which is based on two…

Quantum Physics · Physics 2022-11-11 Nicholas Anto-Sztrikacs , Ahsan Nazir , Dvira Segal

Polaron-transformed quantum master equation (PQME) offers a unified framework to describe the dynamics of quantum systems in both limits of weak and strong couplings to environmental degrees of freedom. Thus, PQME serves as an efficient…

Quantum Physics · Physics 2026-01-01 Seogjoo J. Jang

We show that the long-time limit of the two-point correlation function obtained via the standard quantum regression theorem, a standard tool to compute correlation functions in open quantum systems, does not respect the…

Quantum Physics · Physics 2023-06-09 Sakil Khan , Bijay Kumar Agarwalla , Sachin Jain

A central challenge in the theory of open quantum systems is the development of theoretical frameworks capable of accurately describing large, strongly interacting quantum many-body systems in the regime of strong system-bath interaction.…

Quantum Physics · Physics 2026-04-06 Juzar Thingna , Xiansong Xu , Daniel Manzano

The quantum regression theorem is a powerful tool for calculating the muli-time correlators of operators of open quantum systems which dynamics can be described in Markovian approximation. It enables to obtain the closed system of equation…

Quantum Physics · Physics 2023-10-16 Ivan V. Panyukov , Vladislav Yu. Shishkov , Evgeny S. Andrianov

We present an analytic approach to treat open quantum systems strongly coupled to multiple environments via noncommuting system operators, a prime example is a qubit concurrently coupled to both decoherring and dissipative baths. Our…

Quantum Physics · Physics 2025-04-23 Jakub Garwoła , Dvira Segal

The counter rotating-wave term (CRT) effects from the system-bath coherence on the dynamics of quantum correlation of two qubits in two independent baths and a common bath are systematically investigated. The hierarchy approach is extended…

Quantum Physics · Physics 2013-10-21 Chen Wang , Qing-Hu Chen

We study the spin-boson model without the counterrotating terms by a numerically exact method based on variational matrix product states. Surprisingly, the second-order quantum phase transition (QPT) is observed for the sub-Ohmic bath in…

Statistical Mechanics · Physics 2019-09-05 Yan-Zhi Wang , Shu He , Liwei Duan , Qing-Hu Chen

Unitary transformations can allow one to study open quantum systems in situations for which standard, weak-coupling type approximations are not valid. We develop here an extension of the variational (polaron) transformation approach to open…

We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov…

Quantum Physics · Physics 2008-03-18 Adrian A. Budini
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