280 citations · 1.5k across the 32 of their papers we have counts for
32 papers
Universal Properties of the Spectral Form Factor in Open Quantum Systems
Yi-Neng Zhou, Tian-Gang Zhou, Pengfei Zhang
The spectral form factor (SFF) can probe the eigenvalue statistic at different energy scales as its time variable varies. In closed quantum chaotic systems, the SFF exhibits a univ…
Full Counting Statistics across the Entanglement Phase Transition of Non-Hermitian Hamiltonians with Charge Conservations
Tian-Gang Zhou, Yi-Neng Zhou, Pengfei Zhang
Performing quantum measurements produces not only the expectation value of a physical observable but also the probability distribution of all possible outcomes . The…
Temporal Entanglement in Chaotic Quantum Circuits
Alessandro Foligno, Tianci Zhou, Bruno Bertini
The concept of space-evolution (or space-time duality) has emerged as a promising approach for studying quantum dynamics. The basic idea involves exchanging the roles of space and…
Hydrodynamic theory of scrambling in chaotic long-range interacting systems
Tianci Zhou, Andrew Y. Guo, Shenglong Xu +2
The Fisher-Kolmogorov-Petrovsky-Piskunov (FKPP) equation provides a mean-field theory of out-of-time-ordered commutators in locally interacting quantum chaotic systems at high ener…
Real-time correlators in chaotic quantum many-body systems
Adam Nahum, Sthitadhi Roy, Sagar Vijay +1
We study real-time local correlators in chaotic quantum many-body systems. These correlators show universal structure at l…
Maximal entanglement velocity implies dual unitarity
Tianci Zhou, Aram W. Harrow
A global quantum quench can be modeled by a quantum circuit with local unitary gates. In general, entanglement grows linearly at a rate given by entanglement velocity, which is upp…
Measurement induced entanglement transition in two dimensional shallow circuit
Hanchen Liu, Tianci Zhou, Xiao Chen
We prepare two dimensional states generated by shallow circuits composed of (1) one layer of two-qubit CZ gate or (2) a few layers of two-qubit random Clifford gate. After measurin…
Operator Growth from Global Out-of-time-order Correlators
Tianci Zhou, Brian Swingle
In the context of chaotic quantum many-body systems, we show that operator growth, as diagnosed by out-of-time-order correlators of local operators, also leaves a sharp imprint in…
Lévy walk dynamics in non-static media
Tian Zhou, Pengbo Xu, Weihua Deng
Almost all the media the particles move in are non-static. Depending on the expected resolution of the studied dynamics and the amplitude of the displacement of the media, sometime…
Gaussian Process and Levy Walk under Stochastic Non-instantaneous Resetting and Stochastic Rest
Tian Zhou, Pengbo Xu, Weihua Deng
A stochastic process with movement, return, and rest phases is considered in this paper. For the movement phase, the particles move following the dynamics of Gaussian process or ba…
Non-unitary Entanglement Dynamics in Continuous Variable Systems
Tianci Zhou, Xiao Chen
We construct a random unitary Gaussian circuit for continuous-variable (CV) systems subject to Gaussian measurements. We show that when the measurement rate is nonzero, the steady…
Entanglement Negativity at Measurement-Induced Criticality
Shengqi Sang, Yaodong Li, Tianci Zhou +3
We propose entanglement negativity as a fine-grained probe of measurement-induced criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions, co…
Lévy walk dynamics in mixed potentials from the perspective of random walk theory
Tian Zhou, Pengbo Xu, Weihua Deng
Lévy walk process is one of the most effective models to describe superdiffusion, which underlies some important movement patterns and has been widely observed in the micro and mac…
Tunneling through an Eternal Traversable Wormhole
Tian-Gang Zhou, Pengfei Zhang
The Maldacena-Qi model describes two copies of the Sachdev-Ye-Kitaev model coupled with an additional coupling, and is dual to the Jackiw-Teitelboim gravity which exhibits an etern…
Disconnecting a Traversable Wormhole: Universal Quench Dynamics in Random Spin Models
Tian-Gang Zhou, Lei Pan, Yu Chen +2
Understanding strongly interacting quantum matter and quantum gravity are both important open issues in theoretical physics, and the holographic duality between quantum field theor…
Lévy walk dynamics in an external harmonic potential
Pengbo Xu, Tian Zhou, Ralf Metzler +1
Lévy walks (LWs) are spatiotemporally coupled random-walk processes describing superdiffusive heat conduction in solids, propagation of light in disordered optical materials, motio…
The entanglement membrane in chaotic many-body systems
Tianci Zhou, Adam Nahum
In certain analytically-tractable quantum chaotic systems, the calculation of out-of-time-order correlation functions, entanglement entropies after a quench, and other related dyna…
Continuous time random walks and Lévy walks with stochastic resetting
Tian Zhou, Pengbo Xu, Weihua Deng
Intermittent stochastic processes appear in a wide field, such as chemistry, biology, ecology, and computer science. This paper builds up the theory of intermittent continuous time…
Barrier from chaos: operator entanglement dynamics of the reduced density matrix
Huajia Wang, Tianci Zhou
It is believed that thermalization drives the reduced density matrix of a subsystem to approach a short-range entangled operator. If the initial state is also short-range entangled…
Quantum chaos dynamics in long-range power law interaction systems
Xiao Chen, Tianci Zhou
We use out-of-time-order commutator (OTOC) to diagnose the propagation of chaos in one dimensional long-range power law interaction system. We map the evolution of OTOC to a classi…
Operator Dynamics in Brownian Quantum Circuit
Tianci Zhou, Xiao Chen
We explore the operator dynamics in a random -spin model with pairwise interactions (Brownian quanum circuit). We introduce the height of an operator to characterize its spa…
Operator scrambling and quantum chaos
Xiao Chen, Tianci Zhou
Operator scrambling is a crucial ingredient of quantum chaos. Specifically, in the quantum chaotic system, a simple operator can become increasingly complicated under unitary time…
Emergent statistical mechanics of entanglement in random unitary circuits
Tianci Zhou, Adam Nahum
We map the dynamics of entanglement in random unitary circuits, with finite on-site Hilbert space dimension , to an effective classical statistical mechanics, and develop genera…
Measuring the distance between quantum many-body wave functions
Xiao Chen, Tianci Zhou, Cenke Xu
We study the distance of two wave functions under chaotic time evolution. The two initial states are differed only by a local perturbation. To be entitled "chaos" the distance shou…