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We study localization properties of continuously monitored dynamics and associated measurement-induced phase transitions in disordered quantum many-body systems on the basis of the quantum trajectory approach. By calculating the fidelity…

Statistical Mechanics · Physics 2023-06-09 Kazuki Yamamoto , Ryusuke Hamazaki

We study the entanglement dynamics of a family of quantum collision models by analytically solving the pairwise concurrence for all qubit pairs. We introduce a diagrammatic method that offers an intuitive, frame-by-frame understanding of…

Quantum Physics · Physics 2025-01-23 Le Hu , Andrew N. Jordan

We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

Disordered Systems and Neural Networks · Physics 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

Characterizing how entanglement grows with time in a many-body system, for example after a quantum quench, is a key problem in non-equilibrium quantum physics. We study this problem for the case of random unitary dynamics, representing…

Statistical Mechanics · Physics 2017-08-02 Adam Nahum , Jonathan Ruhman , Sagar Vijay , Jeongwan Haah

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero…

High Energy Physics - Theory · Physics 2018-01-15 Mitsuhiro Nishida , Masahiro Nozaki , Yuji Sugimoto , Akio Tomiya

In a recent publication, we have discussed the effects of boundary conditions in finite quantum systems and their connection with symmetries. Focusing on the one-dimensional Hubbard Hamiltonian under twisted boundary conditions, we have…

Strongly Correlated Electrons · Physics 2018-08-01 Krissia Zawadzki , Irene D'Amico , Luiz N. Oliveira

We investigate a quantum quench from a critical to an exceptional point. The initial state, prepared in the ground state of a critical hermitian system, is time evolved with a non-hermitian SSH model, tuned to its exceptional point. The…

Strongly Correlated Electrons · Physics 2021-02-26 Ádám Bácsi , Balázs Dóra

The effect of unstable quasiparticles in the out-of-equilibrium dynamics of certain integrable systems has been the subject of several recent studies. In this paper we focus on the stationary value of the entanglement entropy density, its…

High Energy Physics - Theory · Physics 2023-04-24 David X. Horvath , Pasquale Calabrese , Olalla A. Castro-Alvaredo

The combination of strong disorder and interactions in closed quantum systems can lead to many-body localization (MBL). However this quantum phase is not stable when the system is coupled to a thermal environment. We investigate how MBL is…

Strongly Correlated Electrons · Physics 2020-08-12 Elisabeth Wybo , Michael Knap , Frank Pollmann

Whether or not the thermodynamic entropy is equal to the entanglement entropy of an eigenstate, is of fundamental interest, and is closely related to the `Eigenstate thermalization hypothesis (ETH)'. However, this has never been exploited…

Disordered Systems and Neural Networks · Physics 2020-09-09 Devendra Singh Bhakuni , Auditya Sharma

Localization marks the breakdown of thermalization in subregions of quantum many-body systems in the presence of sufficiently large disorder. In this paper, we use numerical techniques to study thermalization and localization in a many-body…

Statistical Mechanics · Physics 2023-03-07 Spasen Chaykov , Brenden Bowen , Nishant Agarwal

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

Quantum Physics · Physics 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

We investigate entanglement growth for a pair of coupled kicked rotors. For weak coupling, the growth of the entanglement entropy is found to be initially linear followed by a logarithmic growth. We calculate analytically the time after…

Quantum Physics · Physics 2020-12-30 Sanku Paul , Arnd Bäcker

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

Statistical Mechanics · Physics 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

The law of statistical physics dictates that generic closed quantum many-body systems initialized in nonequilibrium will thermalize under their own dynamics. However, the emergence of many-body localization (MBL) owing to the interplay…

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

Statistical Mechanics · Physics 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

The interplay of interactions and strong disorder can lead to an exotic quantum many-body localized (MBL) phase. Beyond the absence of transport, the MBL phase has distinctive signatures, such as slow dephasing and logarithmic entanglement…

Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in…

Disordered Systems and Neural Networks · Physics 2019-05-29 Dmitry A. Abanin , Ehud Altman , Immanuel Bloch , Maksym Serbyn

Quantum entanglement is recognized as a fundamental resource in quantum information processing and is essential for understanding quantum many-body physics. However, experimentally detecting entanglement, particularly in many-particle…

Quantum Physics · Physics 2025-08-13 Hao-Yue Qi , Wei Zheng

We study the properties of excited states in one-dimensional many-body localized (MBL) systems using a matrix product state algorithm. First, the method is tested for a large disordered non-interacting system, where for comparison we…

Strongly Correlated Electrons · Physics 2016-06-29 D. M. Kennes , C. Karrasch