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Dynamical detection of quantum phases and phase transitions (QPT) in quenched systems with experimentally convenient initial states is a topic of interest from both theoretical and experimental perspectives. Quenched from polarized states,…

Quantum Physics · Physics 2021-06-10 Ceren B. Dağ , Kai Sun

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field Ising model from the vantage point of two disparate concepts of dynamical criticality. An analytical derivation of the classical dynamics…

Statistical Mechanics · Physics 2018-05-07 Johannes Lang , Bernhard Frank , Jad C. Halimeh

We study the entanglement in a chain of harmonic oscillators driven out of equilibrium by preparing the two sides of the system at different temperatures, and subsequently joining them together. The steady state is constructed explicitly…

Statistical Mechanics · Physics 2014-12-11 Viktor Eisler , Zoltan Zimboras

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two…

Condensed Matter · Physics 2009-10-22 A. Crisanti , H. Rieger

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

Strongly Correlated Electrons · Physics 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

We investigate the build-up of quasi-long-range order in the XX chain with transverse magnetic field at finite size. As the field is varied, the ground state of the system displays multiple level crossings producing a sequence of…

Quantum Physics · Physics 2009-11-13 Wonmin Son , Luigi Amico , Francesco Plastina , Vlatko Vedral

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

Using AdS/CFT correspondence we study non-equilibrium phase transition in the presence of a constant external magnetic field. The transition occurs when the sign of differential conductivity reverses. Utilizing numerical method we show that…

High Energy Physics - Theory · Physics 2015-06-15 Mohammad Ali-Akbari , Ali Vahedi

We investigate the size scaling of the entanglement entropy (EE) in nonequilibrium steady states (NESSs) of a one-dimensional open quantum system with a random potential. It models a mesoscopic conductor, composed of a long quantum wire…

Quantum Physics · Physics 2019-02-22 Hideaki Hakoshima , Akira Shimizu

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix…

Statistical Mechanics · Physics 2009-11-13 Maurizio Fagotti , Pasquale Calabrese

We show that the variation of the ground state entanglement in linear, higher spatial derivatives field theories at zero-temperature have signatures of phase transition. Around the critical point, when the dispersion relation changes from…

High Energy Physics - Theory · Physics 2015-06-12 Suman Ghosh , S. Shankaranarayanan

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We consider the effect of a random longitudinal field on the Ising model in a transverse magnetic field. For spatial dimension $d > 2$, there is at low strength of randomness and transverse field, a phase with true long range order which is…

Disordered Systems and Neural Networks · Physics 2016-08-31 T. Senthil

The out-of-equilibrium dynamics of many body systems has recently received a burst of interest, also due to experimental implementations. The dynamics of both observables, such as magnetization and susceptibilities, and quantum information…

Quantum Physics · Physics 2019-11-12 Tony J. G. Apollaro , Salvatore Lorenzo

The mechanism of appearance of exponentially large number of metastable states in magnetic phases of disordered Ising magnets with short-range random exchange is suggested. It is based on the assumption that transitions into inhomogeneous…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. N. Timonin

What entanglement is present in naturally occurring physical systems at thermal equilibrium? Most such systems are intractable and it is desirable to study simple but realistic systems which can be solved. An example of such a system is the…

Quantum Physics · Physics 2007-05-23 Tobias J. Osborne , Michael A. Nielsen

The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization at equilibrium have nontrivial dynamics even in this limit.…

Statistical Mechanics · Physics 2023-07-03 V. N. Gorshkov , N. A. Sinitsyn , D. Mozyrsky

We consider the nonequilibrium time evolution of the transverse magnetization in the critical Ising and $XX$ quantum chains. For some inhomogeneously magnetized initial states we derive analytically the transverse magnetization profiles and…

Statistical Mechanics · Physics 2009-11-07 Dragi Karevski

We study the steady state of a finite XX chain coupled at its boundaries to quantum reservoirs made of free spins that interact one after the other with the chain. The two-point correlations are calculated exactly and it is shown that the…

Statistical Mechanics · Physics 2009-04-23 Dragi Karevski , Thierry Platini