Modern Quantum Mechanics

Sakurai, Jun

doi:10.1017/9781108499996

Cited by 1,363 publications

(2,059 citation statements)

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“…For instance, the spreading of a single-particle Gaussian wave packet has both time and initial state dependence. The wavefunction of a single-particle Gaussian wave is packet [79] ψ(x, t)…”

Section: Fick's Law and Generalized Diffusion Coefficientmentioning

confidence: 99%

Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems

Lai

Chien

2017

Phys. Rev. A

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Dynamics of a system in general depends on its initial state and how the system is driven, but in many-body systems the memory is usually averaged out during evolution. Here, interacting quantum systems without external relaxations are shown to retain long-time memory effects in steady states. To identify memory effects, we first show quasi-steady state currents form in finite, isolated Bose and Fermi Hubbard models driven by interaction imbalance and they become steady-state currents in the thermodynamic limit. By comparing the steady state currents from different initial states or ramping rates of the imbalance, long-time memory effects can be quantified. While the memory effects of initial states are more ubiquitous, the memory effects of switching protocols are mostly visible in interaction-induced transport in lattices. Our simulations suggest the systems enter a regime governed by a generalized Fick's law and memory effects lead to initial-state dependent diffusion coefficients. We also identify conditions for enhancing memory effects and discuss possible experimental implications.

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Section: Fick's Law and Generalized Diffusion Coefficientmentioning

confidence: 99%

Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems

Lai

Chien

2017

Phys. Rev. A

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“…We begin with a systematic treatment of the time reversal operation. We introduce the anti-unitary time-reversal operator Θ that operationally reverses the direction of time [11]. The anti-unitary action of the operator gives the correct time-reversed actions on familiar operators such as position, ΘxΘ −1 = x, momentum ΘpΘ −1 = −p, and spin ΘSΘ −1 = −S.…”

Section: Time Reversal Symmetry For Janus Measurement Sequencesmentioning

confidence: 99%

Janus sequences of quantum measurements and the arrow of time

Jordan

Chantasri

Murch³

et al. 2017

AIP Conference Proceedings

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Abstract. We examine the time reversal symmetry of quantum measurement sequences by introducing a forward and backward Janus sequence of measurements. If the forward sequence of measurements creates a sequence of quantum states in time, starting from an initial state and ending in a final state, then the backward sequence begins with the time-reversed final state, exactly retraces the intermediate states, and ends with the time-reversed initial state. We prove that such a sequence can always be constructed, showing that unless the measurements are ideal projections, it is impossible to tell if a given sequence of measurements is progressing forward or backward in time. A statistical arrow of time emerges only because typically the forward sequence is more probable than the backward sequence.

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“…The ground state of spin dimer is spin-singlet state with total spin S tot = 0. The wave function of spin singlet state is given by [4]   …”

Section: Spin Dimermentioning

confidence: 99%

Low-temperature heat transport of spin-gapped quantum magnets

Zhao

Liu

et al. 2016

Sci. China Phys. Mech. Astron.

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This article reviews low-temperature heat transport studies of spin-gapped quantum magnets in the last few decades. Quantum magnets with small spins and low dimensionality exhibit a variety of novel phenomena. Among them, some systems are characteristic of having quantum-mechanism spin gap in their magnetic excitation spectra, including spin-Peierls systems, S = 1 Haldane chains, S = 1/2 spin ladders, and spin dimmers. In some particular spin-gapped systems, the XY-type antiferromagnetic state induced by magnetic field that closes the spin gap can be described as a magnon Bose-Einstein condensation (BEC). Heat transport is effective in probing the magnetic excitations and magnetic phase transitions, and has been extensively studied for the spin-gapped systems. A large and ballistic spin thermal conductivity was observed in the two-leg Heisenberg S = 1/2 ladder compounds. The characteristic of magnetic thermal transport of the Haldane chain systems is quite controversial on both the theoretical and experimental results. For the spin-Peierls system, the spin excitations can also act as heat carriers. In spin-dimer compounds, the magnetic excitations mainly play a role of scattering phonons. The magnetic excitations in the magnon BEC systems displayed dual roles, carrying heat or scattering phonons, in different materials.

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Modern Quantum Mechanics

Cited by 1,363 publications

References 0 publications

Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems

Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems

Janus sequences of quantum measurements and the arrow of time

Low-temperature heat transport of spin-gapped quantum magnets

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