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The dynamics of entanglement and uncertainty relation is explored by solving the time-dependent Schr\"{o}dinger equation for coupled harmonic oscillator system analytically when the angular frequencies and coupling constant are arbitrarily…

Quantum Physics · Physics 2018-03-30 DaeKil Park

Our current understanding of quantum chaos in many-body quantum systems hinges on the random matrix theory(RMT) behavior of eigenstates and their energy level statistics. Although RMT has been remarkably successful in describing `coarse'…

Statistical Mechanics · Physics 2025-08-05 Christopher M. Langlett , Joaquin F. Rodriguez-Nieva

We study a class of (1+1)D symmetric random quantum circuits with two competing types of measurements in addition to random unitary dynamics. The circuit exhibits a rich phase diagram involving robust symmetry-protected topological (SPT),…

Quantum Physics · Physics 2021-11-03 Ali Lavasani , Yahya Alavirad , Maissam Barkeshli

We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , John Cardy

We calculate the hybrid entanglement entropy between coin and walker degrees of freedom in a non-unitary quantum walk. The model possesses a joint parity and time-reversal symmetry or PT-symmetry and supports topological phases when this…

Quantum Physics · Physics 2023-02-08 Gene M. M. Itable , Francis N. C. Paraan

In this paper we continue to explore "hybrid" quantum circuit models in one-dimension with both unitary and measurement gates, focussing on the entanglement properties of wavefunction trajectories at long times, in the steady state. We…

Statistical Mechanics · Physics 2023-08-23 Yaodong Li , Xiao Chen , Matthew P. A. Fisher

Time evolution of quantum many-body systems typically leads to a state with maximal entanglement allowed by symmetries. Two distinct routes to impede entanglement growth are inducing localization via spatial disorder, or subjecting the…

Quantum Physics · Physics 2021-11-23 Tsung-Cheng Lu , Tarun Grover

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

The time evolution of entanglement tracks how information propagates in interacting quantum systems. We study entanglement entropy in CFT$_2$ with a time-dependent Hamiltonian. We perturb by operators with time-dependent source functions…

High Energy Physics - Theory · Physics 2018-03-14 Allic Sivaramakrishnan

The evolution of entanglement in a non-Hermitian quantum system may behave differently compared to its Hermitian counterpart. In this paper, we investigate the entanglement dynamics of two coupled and driven non-Hermitian qubits. Through…

Quantum Physics · Physics 2023-08-31 Yi-Xi Zhang , Zhen-Tao Zhang , Xiao-Zhi Wei , Bao-Long Liang , Feng Mei , Zhen-Shan Yang

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

Strongly Correlated Electrons · Physics 2017-08-21 Vincenzo Alba , Pasquale Calabrese

A state in a quantum system with a given global symmetry, $G$, can be sensitive to the presence of boundaries, which may either preserve or break this symmetry. In this work, we investigate how conformal invariant boundary conditions…

High Energy Physics - Theory · Physics 2025-09-15 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

Average block entanglement in the 1D XX-model with uncorrelated random couplings is known to grow as the logarithm of the block size, in similarity to conformal systems. In this work we study random spin chains whose couplings present long…

Statistical Mechanics · Physics 2016-07-19 Javier Rodríguez-Laguna , Silvia N. Santalla , Giovanni Ramírez , Germán Sierra

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

Statistical Mechanics · Physics 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands

In time-independent quantum systems, entanglement entropy possesses an inherent scaling symmetry that the energy of the system does not have. The symmetry also assures that entropy divergence can be associated with the zero modes. We…

High Energy Physics - Theory · Physics 2023-07-28 S. Mahesh Chandran , S. Shankaranarayanan

Bipartite entanglement entropy is one of the most useful characterizations of universal properties in a many-body quantum system. Far from equilibrium, there exist two highly effective theories describing its dynamics -- the quasiparticle…

Statistical Mechanics · Physics 2025-08-20 Shachar Fraenkel , Colin Rylands

We present a model of discrete quantum evolution based on quantum correlations between the evolving system and a reference quantum clock system. A quantum circuit for the model is provided, which in the case of a constant Hamiltonian is…

Quantum Physics · Physics 2016-07-06 A. Boette , R. Rossignoli , N. Gigena , M. Cerezo

Recent studies found that the diffusive transport of conserved quantities in non-integrable many-body systems has an imprint on quantum entanglement: while the von Neumann entropy of a state grows linearly in time $t$ under a global quench,…

Statistical Mechanics · Physics 2020-07-07 Tianci Zhou , Andreas W. W. Ludwig

The dynamics of quantum many-body systems in the chaotic regime are of particular interest due to the associated phenomena of information scrambling and entanglement generation within the system. While these systems are typically…

The reduced density matrix of many-body systems possessing an additive conserved quantity can be decomposed in orthogonal sectors which can be independently analyzed. Recently, these have been proven to equally contribute to entanglement…

Statistical Mechanics · Physics 2020-08-05 Xhek Turkeshi , Paola Ruggiero , Vincenzo Alba , Pasquale Calabrese
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